diff --git "a/data/dm_maths/full_data/1368_11255.jsonl" "b/data/dm_maths/full_data/1368_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1368_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y be (76\/6)\/((-6)\/9). Let w(h) = -6*h - 18. What is the tens digit of w(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9*80\/2700)\/((-4)\/(-6))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 w when three letters picked without replacement from {n: 1, w: 2, g: 1, d: 2, o: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*(sqrt(99)*1)**2 - ((sqrt(99) - (sqrt(99) - (sqrt(99)*2)**2)) + 4)) - (6*(sqrt(99) + -3)**2 + (-1 + sqrt(99))*3).\nAnswer: -4233 + 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 5 + 10*n**3)*(n - n + 2*n) + 6*n**4 + 5*n**4 - n**4 + n**4 - n**4 + n**4 + (-4*n**2 + 4*n**2 + 2*n**2)*(-n**2 - n**2 + n**2))*(6*n - 3*n + 0*n).\nAnswer: 87*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/4 - 24\/(-16). Let h = r + -13. What is the second derivative of -h*g**2 + 6*g - 8*g**2 + 9*g**2 wrt g?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0. Let z(n) = -n**2 + 22. Let b be z(j). Suppose -5*w - q + 62 = 0, w - q = 2*q + b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 + -3. Let g = a - -0.7. Does 15\/7 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*w + r + 52, 0 = 5*w - 2*r + 57. Let u(t) = t**2 + 7*t - 7. Let a be u(w). Solve 40 = m + a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(234)\/sqrt(6))\/sqrt(3) + -2.\nAnswer: -3*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + 3.98. Let f = -2\/91 + 370\/273. Which is the nearest to -2? (a) u (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57280*t - 28639*t - 28646*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 405 = 23*g. What is the least common multiple of -6*g\/54 - (0 - -1) and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*f + 133*f - 29887 = 24713. What is the greatest common divisor of f and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j - 451197 = -43*j. What are the prime factors of j?\nAnswer: 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -5\/3 (c) 1\/4 (d) -5934 (e) -2\/3 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 20 (c) -6.85 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-15\/7)*(d\/d**(-6))\/d*d)\/(d\/d**(-7)*d\/d**7) assuming d is positive.\nAnswer: d**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + -2 - (-5 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 5*i - 1. Let u = 15 - 15. Let l be u*(-1 + 0)*1. Suppose l = 2*k + 13 - 5. What is n(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118)\/((476\/1785)\/(18\/135)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 18*h - 51. Let t be k(14). Suppose 2*s = 4*x - 212, 28 + 230 = t*x + s. What is the greatest common factor of 26 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 8. Suppose -5*k + 37 = 3*x, -l*k + 39 = 4*x + 11. Let n(i) = 3*i + 4. Let j be n(4). What is the greatest common divisor of k and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1173.004532 + -1173. What is v rounded to four dps?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -18*h + 7*h - 18*h + 20*h. Let a(x) = -4*x**2 - 3*x + 3. Let l(o) = -4*o**2 - 2*o + 2. Let z(i) = 2*a(i) - 3*l(i). Calculate z(b(m)).\nAnswer: 324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16449.99999967806 - -16450. What is z rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4995 and 111.\nAnswer: 4995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -984 - -6889\/7. Which is the smallest value? (a) -1 (b) m (c) -0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175 by 35.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*l = -6, 3*l + 24 = 5*h - 0*l. Suppose 9 = h*s, -5*k + 4*s = -13 + 50. Put 4, 1, k in decreasing order.\nAnswer: 4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1134 + -5385. Let w = -131805\/31 - f. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 460.7 - 441. Let f = u + -19.69999881. What is f rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126c (base 15) to base 3\nAnswer: -12101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**6\/24 - w**4\/6 - w**2 - 5*w. Let r(z) be the first derivative of n(z). Find the second derivative of r(x) wrt x.\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m + 3. Let r(w) = 9*w + 5. Let g(p) = -5*k(p) + 3*r(p). Let f(l) = l**2. Give f(g(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43\/40 in 3, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 243, 943, 2097, 3699, 5743, 8223, 11133?\n\"Answer: -u**3 + 233*u**2 + 8*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -10*m**5 - 105*m**4 - 170*m**3 + 340*m**2 + 840*m + 320 = 0.\nAnswer: -8, -2, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 32. Let n(g) = g**3 + 7*g**2 + g - 9. Calculate the remainder when n(x) is divided by ((-2)\/4)\/((-2)\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 30*t + t**3 + 11*t - 90 + 8*t**2 + 11*t + 11*t.\nAnswer: -(t - 6)*(t - 5)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*o - 1424, 0*s = -3*s + 4*o + 1063. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453 times 31514?\nAnswer: 45789842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000850697 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(40\/(-12) - -3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 3*t**2 - 10*t**2)*(t**2 + 4*t**2 - 3*t**2) + (-10*t**3 - 6*t**3 + 11*t**3)*(t - 3*t + 3*t).\nAnswer: -23*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfufuqp. What is prob of picking 1 f, 2 u, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/3, -4\/7, 0, 3526 in decreasing order.\nAnswer: 3526, 1\/3, 0, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 13*a - 27*a + 142 = 0, 5*l - 9 = a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -20. Are b and -1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - k - 4594*y = -4591*y + 2, 3 = 3*k - 4*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**20*p)\/p*p*p**(-21)\/p*p*p**(-4\/9)\/p*p\/((p\/(p**(-2\/3)\/p))\/p))**28 assuming p is positive.\nAnswer: p**(-280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16\/556055 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157742 is divided by 132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -6 (c) 2.4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154988838 rounded to the nearest 10000?\nAnswer: 154990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4\/5 + 5*i**3 - 24*i**2 - 208*i - 896\/5 = 0.\nAnswer: -28, -4, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + 17*r**4 + 41 + (0*r**2 + 0*r**2 + 3*r**2)*(4*r - 5*r + 3*r)*(r + 3*r - 3*r) to the form a*r + c*r**4 + v*r**2 + g + h*r**3 and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47732112 is divided by 30172.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a kilometer in meters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 2*a + (-31*a + 24 - 24)*(-3 + 1 + 3) + 0 + 2*a + 0 in the form m + p*a and give p.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2 + (6 - 3)). Let v be 120\/(-35) - (k + 0). Which is the third smallest value? (a) -5\/3 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151096, 151301, 151506, 151711, 151916, 152121?\nAnswer: 152326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-27) + (-492)\/27. Let l be (-8)\/(-52) + w\/(-52). What is the smallest value in l, -4, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 589 and 3340250?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -17*a**3 - 12*a**2 - 6*a - 43. Let l(i) = -18*i**3 - 14*i**2 - 6*i - 41. Determine 7*f(q) - 6*l(q).\nAnswer: -11*q**3 - 6*q - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4332000 (base 7) in base 9?\nAnswer: -885463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q - 4 = 0. Let d = -0.35 + -0.65. What is the nearest to d in -3, q, -1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(120))\/sqrt(4))\/((3*sqrt(30))\/sqrt(5) + sqrt(6)).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 1 + 1 + -2. Let g be 21\/4 - 2\/8. Suppose -60 = -4*z + z. Solve g = n, -x - z = 4*x - b*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14141930 to the nearest 100000.\nAnswer: 14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2880878, 5761724, 8642570, 11523416, 14404262, 17285108?\n\"Answer: 2880846*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -209*p**3 - 42428*p**2 - 191*p + 2418. Give u(-203).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 329*b**3 - 5 - 2*b**4 - 327*b**3 + 31*b - 2*b**2 + 0*b**4 + 8*b**2 to the form c*b + z + r*b**4 + n*b**3 + v*b**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 22*x + 2. What is a(12)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10230 by 2.\nAnswer: 5115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**41*v**(10\/7))**21)**(8\/3) assuming v is positive.\nAnswer: v**2376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 252 - 4?\nAnswer: 24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7122407 to 3 dps.\nAnswer: 1.712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 935203 and 112493?\nAnswer: 1679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25189, -50371, -75553, -100735, -125917, -151099?\n\"Answer: -25182*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -121201 (base 4) to base 2\nAnswer: -11001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4761 + 4?\nAnswer: 4765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -7796.\nAnswer: 155.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*m - 6 = 0, 0*l - 4*l - m + 2 = 0. Let d be 1808 + l + 4\/2. Suppose -c = c - d. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 925 - 813. Let m(u) = 8*u - 2. Let g be m(2). Calculate the highest common factor of k and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1536 - 1558.62. What is v rounded to 0 decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/15)\/(u\/u**5))**(4\/3) assuming u is positive.\nAnswer: u**(248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 2. Let g(z) = 3*z + 7. Let s(b) = -3*g(b) - 8*m(b). Let f(j) = 5. Let r(u) = 8. Let c(w) = -5*f(w) + 3*r(w). Determine -5*c(q) + s(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -111.75526 and -12.8215.\nAnswer: -124.57676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 5:20 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 y when four letters picked without replacement from {y: 1, l: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -2, -1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 7. Let j be n(7). Suppose 3 = -j*l + 3*l + q, -5*l - 4*q = -12. Suppose l*w + 6*w - 990 = 0. What is the greatest common factor of w and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/7? (a) -0.3 (b) 0.4 (c) -0.04 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 328 - 275. Let q = -26 + -18. Let o = -30 - q. Calculate the remainder when v is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-38)\/(-6) + (-2)\/(-3). Suppose 2*x - c*x = -10. Let k be x\/(-5) + 24\/10. Are 6 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238322 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202969 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -327, -450, -547, -618?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499871 is divided by 12514.\nAnswer: 11825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(1 + sqrt(468)) - -1*(1 + sqrt(468))) + (sqrt(468) - (sqrt(468) - (sqrt(468) - sqrt(468)*-2)*2) - -5*-2*sqrt(468)))*1)**2 + 3.\nAnswer: -48*sqrt(13) + 1879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73.67 + 74. Let d = -74.33 + s. Let k = d - -74.069. Round k to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - -2*sqrt(320))*-5)**2 - (5 + ((sqrt(320)*-2)**2 - sqrt(320))).\nAnswer: 8*sqrt(5) + 70715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**2 - 5. Let n(f) = -2*f**3 - 2*f. Determine -2*n(k) + 2*z(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 148190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**11*s*s\/((s**22\/s)\/s)*s)\/(s*s**(-9)*s*s\/s**(-11)))**(-4) assuming s is positive.\nAnswer: s**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133 + 32*u - 7*u - 9*u - 20*u to the form i + h*u and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 75, -3, 20 in ascending order.\nAnswer: -5, -3, 3, 20, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 125. Let q be v(41). Suppose -11*h + q + 97 = 0. Solve 11*w + 2 + h = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323265\/70 + (-222)\/(-1036).\nAnswer: 2, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**5\/15 - u**4\/9 - 2*u**3\/9 + 2*u**2\/3 - 45*u. Factor p(z).\nAnswer: 4*(z - 1)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26538848 to the nearest integer?\nAnswer: 5152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 78 = 5*h - 3*w, 2*w + 68 = 4*h. What is the least common multiple of h and 50?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m. Let v be m*(1 - (2 - 2)). Suppose v = -c + 6 + 2. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-5 - 1)) + -280 + 288?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/54)\/((-3182)\/(-601398))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -2\/17 (c) 38\/23 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7405018?\nAnswer: 2, 3702509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - 0.03875681521694.\nAnswer: -3.03875681521694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from smnmsnmmmssmsm.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3017863?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 6*l**2 - l**3 - 8 + 5*l + 2*l**3. Let r be n(-7). Let b(k) = k**3 - 7*k**2 + 8*k - 7. What is the units digit of b(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 22*t + 21. Let g be k(-22). Let l(z) = 3*z + 4*z + 13*z - z**3 + 16 + 20*z**2. Let n be l(g). Put 0, -2, n in decreasing order.\nAnswer: 0, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13353 (base 8) to base 3\nAnswer: -22001022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*x - 1239 = 199*x - 458*x. Solve x*q = -11 - 4, 3*v - 3*q = 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -12*q. What is the nearest to -2 in q, 5, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 3, -8, 13, 5, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 384.2773kg?\nAnswer: 384277300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**4\/4 - 11*b**3 - 17*b**2\/2 - 79*b - 254. Is f(40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:33 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11768*w - 36 = 11756*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1239*f**2 + 38*f + 38. What is x(-1)?\nAnswer: 1239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -625, -1387, -2455, -3829, -5509?\nAnswer: -7495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.4 - 53920184011\nAnswer: -53920184014.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = d - 0*d, 0 = -5*d - 2*k. Let q be 18100\/((-3)\/30 - d). Round q to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 55 = -5*s + 5*y, 4*s - 84 = -4*y. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*v + 460 = 1225, 2*v + 610 = 4*j. Let c = j - 90. Suppose -4*x + c = u - 0*u, -4*u - 32 = -x. Is x equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + n - 8, -3*g - 5 = 2*n + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/26? (a) 10 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iifi when four letters picked without replacement from {i: 17, f: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.46215 to two dps.\nAnswer: -20.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*w + w - 39 = 0, -z - 3*w = -9. Suppose -3*q = -4*j + 23, -j - 1 = 3*q + z. What are the prime factors of -2*j\/12*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 20*y - 20. Let n(s) = -s**3 + 9*s**2 + 4*s - 15. Let r be n(9). Let v be t(r). What is the tens digit of v\/(-3)*(-6 + -299 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m + 43*m = 12. Suppose -y + 35 = m*s, -s = 4*y - 0*s - 65. What is the units digit of (-1)\/(-3) - (-10)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2512*n**2 + 31*n - 136. Is s(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/(18\/9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57.6 + 57.603. Let b = -0.203 + w. What is the third biggest value in 4, b, -0.4, -1\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (-10)\/(-8) + 1)*-4. Suppose -4*n + 5*p = w, 4*n - 3*p = -n + 6. Solve 0 = 4*v - 4*r - 12, -r = 2*v + n + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(4\/2)*(31 - 40). What is the greatest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 + 1.14. Let c = -0.9 + f. Let w = 11 - 15. Is w < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.7 + -193.7. Let s = 163.9917 + r. Round s to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 56504 = -4*s + 8806, -15921 = -q - 3*s. What are the prime factors of q?\nAnswer: 2, 3, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 0.5 (c) -78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 92*u + 4 + 2 to f + a*u and give a.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 77. Suppose 2*s - d - 9 = s, 0 = -5*d - m. Suppose 5 - 10 = s*b. Is b < -1\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.174639 + -2.825361. Suppose -4*j + j = 0. Which is the smallest value? (a) h (b) 7.4 (c) j (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10 - 2*z**2 - 9*z**2 + 34*z + 61*z**2 + 11*z.\nAnswer: 5*(2*z + 1)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -44. Let g = -1336.37 - -1336.37. What is the nearest to g in -1, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-5 - -7) - 0) + -5 + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65 in -2, 2, -301?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l + 44. What is f(-9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 9) to base 14\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1287 and -52\/255.\nAnswer: 109395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 0.3, -5\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 18 = 2*i - 2*p, 8 = -4*p. Suppose -i*q + 187 = -108. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*i + 72*i - 9*i + 108*i in the form y*i + p and give y.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*v = 122*v + j - 8, 0 = 32*v - 2*j - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1391399\/122 - -11405. Calculate the common denominator of d and -87\/8.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 595988.8\nAnswer: -1787966.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*r*z + 4248108*j**2*r - 3*j*r*z + 66*j*r + 89*j - r*z + 2 wrt j?\nAnswer: 4*r*z + 8496216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = -8*l + 308. Sort 25, 3, l.\nAnswer: l, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*d**3 + 663*d**3 - 414*d**3.\nAnswer: -141*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1064 + 1672. Suppose -20*w + w + v = 0. What is the remainder when 92 is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 - 1.7. Let g(h) = -218*h + 9. Let i be g(2). Let z be (-2)\/7 + i\/49. Which is the biggest value? (a) d (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1113 and 27306279.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Suppose 0 = 7*w + w. Let l = w + y. What is the greatest common factor of l and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - ((-20)\/(-10) - 243). What is the highest common divisor of 240 and s?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11983 (base 10) to base 2\nAnswer: 10111011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*d + 225 + 120 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 15 + -9 - 0*3\/(-18)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 = 4. Suppose s + l*s - 15 = 0. Suppose 0 = s*a + 3*d - 10, 5*d - 2 = -4*a + 6. What is the least common multiple of a and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39327704 divided by 1.\nAnswer: 39327704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, 1552, -3 in increasing order.\nAnswer: -3, 2, 4, 5, 1552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000603 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -2, -0.2, 2.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -316 + 208. Let b be 2\/(-13) + r\/(-26). Suppose b*w = 604 + 160. List the prime factors of w.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h - 2. Let r be c(-1). Suppose 0 = -4*d + r*d + 32. Suppose 0*w - d = -w. What is the remainder when 63 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*v + 28 = 0, -36*v + 82 = 4*n - 33*v. Suppose -q = 15 - n. Solve -s + 5*s + q = -4*p, 0 = -2*s - p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 34)*1\/2. Let u = 18 + b. Suppose -g + 6*g = u. Solve 6 + g = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 71 = 14. Let q(d) = w*d + 22 + 19*d - 35*d. What is the remainder when 6 is divided by q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222120 + 110201210?\nAnswer: 111201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.044 - 132156979.\nAnswer: -132156978.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 14*w**2 + 43*w + 2. What is z(-14)?\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(95)*-6 - (sqrt(95) - -1*sqrt(95))*-2)\/((2*sqrt(45))\/sqrt(9)*-5) + 3.\nAnswer: -sqrt(19)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-16)\/20 + 7 + 36\/(-30))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58112311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*d + 254 = 3*d, 3*d - 324 = -4*a. Suppose 5*x = a + 7. Solve -3*p - 2 = -4*k - 3, -3*k - p - x = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*i - 77*i + 8. Is 46 a factor of 182 - (-11 - -12)\/(i\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 11236695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q + 23*q + 3052 = 0. Calculate the remainder when q is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -10859.\nAnswer: -10857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*z - 5, 1 = -2*p + 5*z + 16. Suppose 2*l + 4*j + 5 = 5*l, -2*l = j + 4. Sort p, 4, l, 3 in descending order.\nAnswer: 4, 3, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haaagvvivvghag. What is prob of sequence ha?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 197, 4, -2, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797549478 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**6\/360 - c**5\/60 - c**4\/24 - 3*c**3\/2 - 12*c**2. Let w(x) be the first derivative of v(x). Give w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(3\/2)*y**(-5)\/y*(y**1)**49)**45 assuming y is positive.\nAnswer: y**(4095\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15107 - -27323. List the prime factors of v.\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 12) to base 10\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l**3 - 3*l**2 - 108*l**3 + 3*l**2.\nAnswer: -87*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.0536106 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -185, -622, -1353, -2384, -3721?\n\"Answer: -b**3 - 141*b**2 - 7*b - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 382347 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*g = -286934, -3*u = g + g - 215218. What are the prime factors of u?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 5:17 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -109db + 115?\nAnswer: -108c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 5 (b) -11 (c) 295\/6 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19029)\/(-9) - 3 - (-2)\/3. Suppose -4*f + 2936 - 814 = 2*u, 0 = 2*u + 2*f - l. Suppose 3*n - u = 4*y + 1336, -4*y = -4*n + 3184. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179 - -174. Let t be (-45)\/d - (-4 + 10). Solve 0 = 3*v - 4*j + 2*j - 13, 0 = 3*j - t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 - 5*c**2 + 1499*c - 1501*c + 2 - 2*c**3 to the form v*c**2 + g*c**3 + i*c + p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122\/3 + -41. Let n = -46 + 66. Let f = -22 + n. Put f, d, -4 in increasing order.\nAnswer: -4, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 109 and 26585.7.\nAnswer: 2897841.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 5 - 1. Put j, 2, 5 in decreasing order.\nAnswer: 5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59378448491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456 (base 7) to base 9.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -r - 4. Suppose -r = -n - 0. Solve 1\/4*f**n - 1\/4*f**4 - 1\/4*f**3 + 1\/4*f**2 + 0 + 0*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 10*a = 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 5. Let l be v(5). Let u = 5 + l. Let t(q) = q**3 - 5*q - 5. Let b(s) = -s**3 + 6*s + 6. Give u*b(j) + 6*t(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*t - 5*h, 4*t - 4*h - 6 = -2*h. Suppose -66 = -t*q - c - 0*c, 3*c + 99 = 3*q. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 6, 4*r = -7*q + 2*q + 14. Suppose r*u = 4*u + 838. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 9*j + 2. Let t be r(9). Suppose -19 = -3*c - 5*h, -3*h + 20 = 5*c - 1. Sort c, -5, t in decreasing order.\nAnswer: c, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 0, -4*t - 7*f - 34 = -3*f - 10 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -3\/2264, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 22. Suppose 0 = -5*p - 14 + 39. Suppose 0 = p*f + 5 - w. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + (5 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66477?\nAnswer: 3, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142016 (base 11) in base 8?\nAnswer: 7466177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 + -19. Let f = 80 - m. Suppose f*t - 5*n + 19 = 6*t, -n + 23 = 5*t. Calculate the least common multiple of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37*(-32)\/8*-5*8\/160?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*z + 549 - 555, -2*z - q = 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10*s + 2176 = 0. Let x be -4*((-10)\/(-8) - s\/2). Calculate the greatest common factor of 154 and x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -154 + 30631061?\nAnswer: 30630604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0)*(-15 - -12). Suppose 5*n + 2*h - 107 = 0, -p*n - 2*h = -105 + 40. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50501714*h**2*j + 73*h**2*v**2 + 3*h*j*v**2 - 2*h*v**2 - j*v - 1704*v**2 wrt v?\nAnswer: 146*h**2 + 6*h*j - 4*h - 3408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2. Let j(t) = -t + 7. Let q(s) = -7*a(s) - 2*j(s). Let n(h) = -9*h. Give 6*n(w) + 26*q(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0408 + 0.0388. Let v = 14.936 + -15. Let u = w - v. Round u to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -536\/877 or -2?\nAnswer: -536\/877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6024763?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 4, -1, 1, 6, 120 in increasing order.\nAnswer: -1, 1, 4, 6, 88, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227857.\nAnswer: 7, 43, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -74012*j - 74713*j + 158035*j as y*j + g and give y.\nAnswer: 9310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -360*f**2*r**3 + 4469*f**2 + 32453*r**3 - 1364*r**2 wrt r?\nAnswer: -2160*f**2 + 194718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -40. Let j(l) = -10*l**3 + l**2 + 4*l + 4. Calculate the remainder when v is divided by j(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21965 is divided by 396?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 3\/2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kppkkckppkp. What is prob of sequence cp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -115789*c + 156. Determine a(0).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f - f**3 + 17 + 0*f**3 - 8. Is 19 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - t + 2)*(0*t + 0*t - t**3) + 0*t**3 + 0*t**3 + 2*t**4 + (6*t**2 - 4*t**2 - 3*t**2)*(-t**2 - 5 + 5) + 4*t**4 + 22*t**2 - 22*t**2.\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l - 48 = -36*l. Let o = -8 + 13. Sort o, l, -2 in increasing order.\nAnswer: -2, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40527 divided by -2133.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/145 and -29\/2548795.\nAnswer: 73915055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 59*h + 54*h = -6, -4*h - 201 = 27*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 710*m**4 - 233*m**4 + 4474*m - 235*m**4 - 244*m**4 + 2*m**3 as j*m + o*m**2 + d*m**3 + h*m**4 + x and give j.\nAnswer: 4474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 2. Suppose -5*v - 4*c = 0, 4*v = -v + c - 25. What is the remainder when 37 is divided by z(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210669076.\nAnswer: 2, 3, 7, 11, 19, 125921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 - 40. Let o = g + -25. Solve o + 1 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7272.3414 and 5901.207.\nAnswer: 13173.5484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -12*f**3 + 5*f**2 + f - 9. Let u be q(-7). Let r = 47836\/11 - u. Find the common denominator of r and 29\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152024 and 20.\nAnswer: 760120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-14) - -24*16\/(-896).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.133 minus -45?\nAnswer: 30.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/20 - 188\/(-280). What is the biggest value in k, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592 = -11*n + 7*n. Let m = -79 - n. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-68)\/(-12) + (80\/(-24))\/5. Solve 3*q + b = -1, -85*q - m*b + 15 = -90*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.0366058.\nAnswer: -0.1464232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -3*sqrt(77)*-1)\/(sqrt(11) + sqrt(22)\/(sqrt(10)\/sqrt(5))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 8*v + 5\/12*v**4 + 8\/3*v**3 + 0*v**2 - 89\/20*v**5 - 2 - 1\/15*v**6. Find the third derivative of w(h) wrt h.\nAnswer: -48*h - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 10:40 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 199*q**2 + 488*q + 136. Calculate o(-97).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from yfyfyfufssffyss.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 36c5c + -3?\nAnswer: 36c59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*q**5*y + 3*q**4*y + 76*q*y + q wrt q?\nAnswer: 1480*q**3*y + 36*q**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 111*m**4 + 7*m**3 + 7*m**2 + 687. Let q(b) = 74*b**4 + 5*b**3 + 5*b**2 + 458. Let a(d) = -5*c(d) + 7*q(d). What is the derivative of a(f) wrt f?\nAnswer: -148*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 11*a**2 - 5. Let f be n(-11). Is (-32)\/40 - 19\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 10*v - 10. Let i(x) = -21*x + 21. Determine -6*i(h) - 13*t(h).\nAnswer: -4*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/(6\/(-8)). Let r be 0\/a - (6 - 1). Let t(b) be the second derivative of -b**5\/20 - b**4\/2 - b**3\/2 + b**2\/2 + 7*b. What is t(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7904)\/168)\/38)\/((-4)\/(-6))*-7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 3*j - 268. What is the tens digit of 4 - (-417 + j\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3578, -3647, -3720, -3797, -3878, -3963, -4052?\nAnswer: -4145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-17)*k)*k)\/(k\/k**(-8\/13)))\/((k\/(k\/k**(2\/9)))\/k**(-27)) assuming k is positive.\nAnswer: k**(-1268\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/168 and 143\/1236?\nAnswer: 17304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 71 - 17)*(m**3 + 22*m**2 - 22*m**2)*(-m**2 + 4*m**2 + 0*m**2).\nAnswer: -255*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2\/3 - 23*m\/3 + 20 = 0.\nAnswer: 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 14080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 9*b**2 - 12*b. Let g(l) = -5*l - 5. Let t be g(-3). Let s be m(t). What is s rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 931 and 29735.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 476076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -120*x + 251. Calculate d(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:16 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 228.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37130958647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9378 + 9379. Is -363 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 108*t - 535. Let d be v(5). Solve -11 = -r + 5*c - c, -4 = 2*r + d*c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 8. Let a(x) = 7. Let h(u) = -5. Let p(l) = 3*a(l) + 4*h(l). What is f(s) - 6*p(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 180337357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -159, -342, -539, -756, -999?\n\"Answer: -b**3 - b**2 - 173*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39\/61 + 1920\/427. Let o = -71\/224 + 108319\/224. Let y = o + -481. Calculate the common denominator of y and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 261476943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvdwdoootowtowwov. What is prob of picking 1 d and 1 v?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2001554 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = -5*q + 88665. What is the remainder when q\/20*(-8)\/(-6) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + -10 + -10 + -85 + 225.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15210410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*p + 9*p - 8*p.\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(4 + -20)*-12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 1. Let s = 1 - 3. Let m(n) = -n. Let j = -19 - -22. Give j*m(h) + s*u(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385594 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from {d: 2, f: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c = 28*c, -5*c = 3*x - 168. What is the highest common factor of x and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m. Let s(v) = 15*v. Calculate 66*n(a) + 6*s(a).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 6*d + 14 = f - 2*d, 2*d - 22 = -3*f - 3*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33 + (-726)\/(-22))\/5. Suppose 1\/4*p**5 + 0*p + 2*p**2 - p**3 - 1\/2*p**4 + i = 0. What is p?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 6*c**2 - 5*c - 2. Let b(r) = 11 - r + 3*r + 5*r - 6*r. Let m be b(-6). Let k be f(m). Put 1, -3, k, -24 in decreasing order.\nAnswer: 1, k, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -939.\nAnswer: 18.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5. Solve -5*x - 11 = r, p = r - 2*x - 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (606\/4)\/(5\/(-30)). Let y = h - 1815\/2. Factor -3\/2*c**3 - 1\/2*c**4 + c + 1\/2*c**2 + y*c**5 + 0.\nAnswer: c*(c - 2)*(c - 1)*(c + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15da80e1 + 1?\nAnswer: -15da80e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 1001.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 1474647.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8502315 to the power of 1\/2, to the nearest integer?\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -65, -19, 43, 127, 239, 385?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 123551925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*h**2 + 2162*h**2 + 1602*h**2.\nAnswer: 4036*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.5692 hours in nanoseconds?\nAnswer: 956049120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8))\/(921\/15964) - 52.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 i when three letters picked without replacement from eeie.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 219 + 76)*(-g**3 + 3*g**3 + 0*g**3) - g + g + 19*g**3 + (-3*g**2 + 0*g**2 + g**2)*(2*g + 0 + 0) + 0*g**3 + 2*g**3 + 0*g**3.\nAnswer: 521*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, -6067947, -2, 29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 t, and 2 z when four letters picked without replacement from {z: 3, j: 1, b: 1, t: 7}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*((s*s*s*(s*s*s**12*s)\/s*s)\/s*s)\/s*s*((s**(-4\/5)\/s)\/s)\/s*s*s**4\/s*(s\/(s\/(s**(1\/10)\/s)))\/s assuming s is positive.\nAnswer: s**(173\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114204 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 1:25 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -21*z + 1. Suppose -4*n + 16 = -0*n + 2*k, 5*n - 2*k = 11. Let g = n + 5. Calculate the remainder when m(-1) is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5)*k**(-33))\/((k**(-2\/81)*k)\/k**(-18)))**(3\/8) assuming k is positive.\nAnswer: k**(-2611\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 802 - -91?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 - -80.5. Let x = -0.5 - d. Let s = 0.6 - 0.53. Sort s, 2, x in increasing order.\nAnswer: x, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**3 + 28*y**3 + 14*y**3 + 4*y**3.\nAnswer: 37*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-2)*l*(l**(1\/4)\/l)\/l*l**(-3)*l*l*l*l**(-4)*(l**(-2\/5))**15\/((l\/(l\/l**(2\/5)))\/l*l\/l**(2\/9)) assuming l is positive.\nAnswer: l**(-2147\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 219, -9, 38112, -5, 0 in decreasing order.\nAnswer: 38112, 219, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 219*t - 215*t + 7*t**4 + 6 + t**2 - 9*t**4 + (-3*t**2 - 4*t**2 + 4*t**2)*(-1 + 1 - t**2) to s*t**4 + r*t**2 + m + o*t + i*t**3 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.915 - 9.915. Sort -0.07, 0.1, 4, c, 0.2 in increasing order.\nAnswer: c, -0.07, 0.1, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 + 0.7. Let k = 1033.9 + -1034. Let l(r) = -2*r**3 + 4*r**2 - 3*r + 1. Let s be l(2). Which is the closest to 0.2? (a) i (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*((w\/(w\/w**6))\/w*w)\/w*w*w)**50\/(w\/w**(4\/9)*w**(-2\/25)) assuming w is positive.\nAnswer: w**(101143\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + -124. Suppose 882 = -w*q + 5848. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105051 is divided by 835?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78\/7*(1 + 6) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 5*j**4\/24 - 49*j**3\/6 - 32*j**2. Let l be d(11). Solve -k - 22 = u - l*u, -2 = -2*u - 3*k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.73355 + 1068540.\nAnswer: 1068545.73355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 1:53 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 7*o + 7. What is the remainder when v(-5) is divided by 100\/6 + 2\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t**3 + 3*t**2 + 4*t. Let v be x(-1). Suppose 84 - 52 = v*j. Solve -j*b - 35 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 3*m**2 - 3*m**2 + (-2 - m**3 + 2)*(2*m + m - 2*m) + (5*m**4 + 2*m**4 - 5*m**4)*(2 - 1 - 5).\nAnswer: -11*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 8*q**3\/3 - 2. Let w(n) = n**2. What is w(u(l))?\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5\/4 (b) -1\/4 (c) 304\/277 (d) 1\/2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-392)\/490)\/(28\/(-175)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 + -175. Let n(h) = h**2 + 6*h - 7. Let k be n(-7). Suppose k = z - 5*p + 19, 4*z - 1 - 19 = -4*p. Calculate the lowest common multiple of l and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377412 to the power of 1\/2, to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 135778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11551*4.078.\nAnswer: 47104.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3694*k**4 - 23*k**3 + 1124*k**2 - 20*k - 1 wrt k.\nAnswer: 88656*k - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 22. Suppose -5*c - 7 = -4*h - 87, -3*h + z = 4*c. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47530 and 1020?\nAnswer: 4848060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 - 45 - 67)*(-4*y + y - 26*y).\nAnswer: 5191*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 2*w - 5*w - 15*w**3 + 255*w**3.\nAnswer: 240*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -1. Let w(d) be the third derivative of d**6\/120 + d**5\/12 + d**4\/12 + d**3\/2 + 15*d**2. What is w(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.1. Let u = -1.4 + 8.2. Let i = u - 7. Which is the closest to w? (a) 3 (b) i (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**2 - 1. Calculate u(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-5)\/(275\/(-10)) - 31014\/(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*r - 18. Suppose -31 = r*x - 7. Let l = 26 - x. Calculate the common denominator of l and -29\/13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108794 = 58*u - 4364. Is 90 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*w**2 - 15 - 26*w + 12*w + 16*w + 10*w**2 + 2*w**3 to the form a*w + n*w**3 + o*w**2 + h and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4\/9 - 122*t**3\/3 + 21122*t**2\/3 + 11472142*t\/9 - 7731596\/3 = 0.\nAnswer: -181, 2, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71313 by 3.\nAnswer: 23771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15795*v**2 + 87*v + 106*v - 280*v + 87*v to w*v + f*v**2 + b and give f.\nAnswer: -15795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z + 9. Let g(d) = -28*d**2 - 2351*d + 85. Let r be g(-84). Calculate q(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*s - 8 = 2*m, 0 = -s + 4. Let j = 10 + -8. Suppose m*k + 56000 = -j*k + v, v = 0. Round k to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 3666?\nAnswer: 40326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*m - 712*m + 34053 + 8458 = -9005 for m.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 849*s**3*w**3 - 124*s**3 + 7*s*w - 26*s + 2*w**2 wrt w?\nAnswer: 2547*s**3*w**2 + 7*s + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from nwwhwhbhnh.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -4, 0.2, -36\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*t = -23, 3*k + 3*t + 7 = k. Suppose -6*q + q = -0*q. Sort k, -3, q in ascending order.\nAnswer: k, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 1:44 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9 + (9 - 2) + -5 - -22. Solve k - 2*c - w = 0, -22*k + 17*k + 4*c + 45 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -15*c + 696. Let k be p(46). Calculate the greatest common factor of k and 777.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 11. Let p be q(4). Let h(u) = -u**2 - 8*u - 7. Let o be h(-6). Sort o, p, 1.\nAnswer: p, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448541 is divided by 632.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -42*u. Let x(p) = -3*p - 2*p + 5*p + p. Give x(t(j)).\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.17 or -2\/375?\nAnswer: -2\/375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(288) + 1*sqrt(288)*-1 + 1 + (3 + -2 + sqrt(128) + 1)*5)**2.\nAnswer: 1040*sqrt(2) + 3369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -129288, -3, -0.123?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**27)**(34\/3)\/((x*(x**(-2\/9)*x)\/x*x)\/(x\/(x*x**(-4)\/x*x*x)))**(-46) assuming x is positive.\nAnswer: x**(-506\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -129 times 0.3\nAnswer: -38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*r = 108*r - 75. Let m be ((-6)\/(-4))\/(2\/4). Suppose 0 = m*n - r. Solve -3*k + n + 4 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -619.03050408861 take away 0.3?\nAnswer: -619.33050408861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.650723 millilitres in litres?\nAnswer: 0.008650723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3796557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a day in hours?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-280)\/(-560)*2\/(-10)*-6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t - 51 + 100 - 48 + 4*t. Let u(n) = 8. Give -8*q(k) + u(k).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(120)\/sqrt(2)*-3 + (sqrt(540) - (sqrt(540) + (sqrt(540) + 1*sqrt(540) + sqrt(540) + sqrt(540) - sqrt(540))) - sqrt(60))))\/(4*-5*3*sqrt(432)).\nAnswer: -13*sqrt(5)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1888685?\nAnswer: 5, 377737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*f - 2*y, 5*f - 2*y = -1. Let z = 5 - 4.6. Let v = 4 - 8. Put v, z, f in decreasing order.\nAnswer: z, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 26 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**5\/20 + 25*a**4\/12 + 9*a**3\/2 - 53*a**2\/2 - 4848*a. What is v(26)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {l: 2, h: 1, t: 2, v: 4, b: 1, x: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - k - 1. Let h be u(3). Suppose 2*v + 20 = 6*v. Let t(s) = s + 7 + v*s - 7*s**2 + s**3 + 0*s + 0*s. Determine t(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 9*u + 21 = 0. Suppose 41062 = -u*t + 21*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 11*v + 125 = g + 77, -124 = 5*g + 4*v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4422?\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12120201121122 - 1010?\nAnswer: 12120201120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a**2 + 7. Let b(i) = -i**2 - 1. Give -3*b(d) - c(d).\nAnswer: -4*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 162 = 34. Let k = w + -25. Suppose k*g = 3*g + 224. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80953790.\nAnswer: 2, 5, 23, 29, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/13 in -4, -45, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 a when four letters picked without replacement from {a: 3, r: 1, f: 4, v: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - ((sqrt(2) - sqrt(2)*-3)*-2 + sqrt(2)) - (sqrt(24) - sqrt(216)\/sqrt(9))\/sqrt(12).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/13)\/w**5 assuming w is positive.\nAnswer: w**(-68\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + (-28)\/7 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2847*k*s**3 + 86*k - 12*s**2 wrt s.\nAnswer: 17082*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*v + 3*o + 2, v - 10 = 4*o. Let f = -2 - v. Suppose -3*n = -5*y - 0*n + 8, y + n - 8 = f. Is y at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-27)*30*2\/20\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4179290 by 4.\nAnswer: -2089645\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12851*y + 255 = 12866*y. What is the highest common factor of 28373 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z. Let o(t) = -2004 + 193*t + 670 + 664 + 671. Determine h(o(y)).\nAnswer: 965*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 15105 - r - 2*r.\nAnswer: -4*r + 15105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -310 + 315. Suppose -5*v + 4*y + 45 = 0, v - 3*y - 20 = -0*v. Let z = -1 + v. Solve -a*g + z = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33064 and 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/20 + 18678\/30 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 30, 0.1, 2\/9, 24, -2\/5 in ascending order.\nAnswer: -2, -2\/5, 0.1, 2\/9, 24, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 39*k**2 - 18*k + 332. Calculate the remainder when r(-30) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80246365?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = 5*r - 5*d, 12*r - 13*r = 5*d - 150. Calculate the lowest common multiple of 15 and r.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 17*w - 56. Let f be o(5). Solve -f*s - 1 = 4*p + 3, -3*s + 2 = -2*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -8*d**5\/5 + 48*d**4\/5 + 62*d**3\/5 - 34*d**2\/5 - 54*d\/5 - 14\/5 = 0.\nAnswer: -1, -1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2114, 0, 3\/4, -1, 1, 2?\nAnswer: 2114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0290767 hours in weeks?\nAnswer: 0.0120778375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/42)\/(60*(-10)\/1575)*4.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -228 - -43. Are -183 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479 - 67 = 7*r. Let o = r + 332. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 845.597 and 0.1?\nAnswer: 84.5597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + 6*f)*(8 + 8 - 12)*(7*f**2 - 3*f**2 - 3*f**2)*(-2*f**2 + 4 - 4).\nAnswer: -48*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.08 + -0.08. Let y = -585 + 1023. Let s = y + -436. What is the biggest value in -2, r, s, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4483 - 1.7983. What is the third biggest value in -6\/5, 3, m?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-10 + 18 + -9) - ((6 - 91) + -6).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvsvssvsvvvsvvsvsv. What is prob of picking 3 s and 1 v?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(-m + 6*m + 0*m - 2*m + 4*m + 0*m - 3*m - 4*m + 6*m + (m + 0*m - 2*m)*(-1 + 3 - 3) + 2*m + 0 + 0 + m + 5*m - 5*m + 3*m - 5*m + 3*m).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 4:47 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - -2. Let r = q + -9. What is the nearest to r in 4\/5, -5, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/85 + 88\/255. Let o(r) be the first derivative of 1\/2*r**2 - 1 + d*r**3 - 1\/4*r**4 - r. Factor o(z).\nAnswer: -(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 171 - 0. Let c = j + 29. What is the remainder when c is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -484*g - 142803. Give x(-296).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -61\/4. Let p = -29 + 29.14. Let g = p + 1.86. What is the nearest to g in -2\/7, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1426 not equal to -1427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3242, -7296, -11356, -15422, -19494?\n\"Answer: -3*w**2 - 4045*w + 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/3))**(-33\/5))**(-12))**5 assuming c is positive.\nAnswer: c**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 316, 1308, 2962, 5278, 8256, 11896?\n\"Answer: 331*a**2 - a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 91*u - 87*u + 9, -4*u = -2*d + 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 217\/3950?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35988485 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeezzeezeeezzzzzeeee. Give prob of picking 1 z and 3 e.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 787*q**2 + 160*q + 1831683?\nAnswer: 1574*q + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2202 is divided by 1033.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-18))\/((-4)\/(-16))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -115*v - 546. What is s(-4)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (0 + -6 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Let x = -12 - -23. Suppose 5*m - 9 = 5*l + x, 4*l = -3*m + 12. Calculate the highest common divisor of q and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*g + 102*g = -105*g + 1980 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*b = 133*b - 3*t + 1, 5*b = -4*t + 147. Let x(z) be the second derivative of 0*z**2 + 0 + 11\/6*z**3 + b*z. Let f(i) = 4*i**2. Give x(f(s)).\nAnswer: 44*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 10515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 15. Solve t = f - 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -711571.18865?\nAnswer: 711576.18865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/92362632 and 31\/84?\nAnswer: 646538424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 13\/22, -187, 1\/4, 3\/7 in ascending order.\nAnswer: -187, -6, 1\/4, 3\/7, 13\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 720.69?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 22*c**2 - 22*c + 30. Let d be j(-23). Let n(o) = o + 605. Let b be n(0). Suppose d*r = 2*r + b. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198196 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**5\/20 + j**4\/4 + 2*j**3\/3 - 24*j. Determine o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43248653, 43248652, 43248651, 43248650?\n\"Answer: -u + 43248654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**2*y*z - 3269037*a**2 + a*y*z + 23*y*z - 326*y - 2*z + 22 wrt a.\nAnswer: -6*a*y*z - 6538074*a + y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -172*h**3 - 2*h**2 + 9*h + 14. What is the tens digit of b(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.05mm in nanometers?\nAnswer: 55050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osom when four letters picked without replacement from {o: 2, m: 1, s: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/450 and 151\/2220.\nAnswer: 33300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98734416 and 1473648?\nAnswer: 98734416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnsnlllnhlllllnnsnl. What is prob of sequence nsn?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + -3)\/(2 + 0 + -1). Suppose 2*z + y = 5*l, -l + 7 = -z + 3*l. Solve -3*j + 32 = -0*q + 4*q, 45 = z*q + 5*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 + 36580*d - 36580*d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 43\/4 of a tonne?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -208\/77 + 36\/11. Let k = -4 + 2. Let w be (3\/12)\/(-1 - k). What is the second smallest value in 2\/3, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-10 + (-29 - (-1 - (11 + -13 - 4))))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/795 + 21008\/530. Determine j so that -2\/5*j**3 + 162\/5 + 38\/5*j**2 - o*j = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b - 8*b**3 + 6 + 0*b**2 + 11*b**2 - 3*b**2. Let a(c) = -9*c**3 + 9*c**2 + 6*c + 7. Suppose 6*k + 48 = 17*k - 3*k. Give k*a(i) - 7*x(i).\nAnswer: 2*i**3 - 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - d + 2*d + 2 = 0, -3*z - 2*d - 9 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -71136 divided by -171\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.294 and -0.1?\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 - -115. Suppose -5*s = -k + 6, k + 2*s + 36 = v*k. Let d = 19 - 7. Calculate the remainder when k is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*u = 1 + 3, 0 = 3*a - 4*u + 4. Suppose -2*m + 8 = -a*m. Suppose -m*r = -r - 6. Solve r - 17 = 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 9\/94, -11\/9, -2?\nAnswer: 9\/94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*1)\/(335\/67)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 17*n**3 + 4*n**2 + 2*n - 3. Let v(g) = g**2 + g - 1. Let m(u) = -3*v(u) + y(u). What is the units digit of m(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1223919*p - 2447991*p + 1223954*p.\nAnswer: -118*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -5*a**2\/2 + 5. Suppose d - 6 = y, 2*y + 1 = -2*d - 3. Let u(z) = -z + d*z - z + 2*z**2. Give u(g(m)).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + 39. Suppose 0 = 4*i, m = 3*n + 2*n - i. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1744 and 618466?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1250051 + -0.125. Round j to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-79) - (248\/592)\/(-31)?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + (-5*(0 + sqrt(468))**2 - sqrt(468)))*-3.\nAnswer: 18*sqrt(13) + 7001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 10, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -100*k. Let z be b(-1). Let s = -251 + 409. Let l = s - z. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9663882465?\nAnswer: 3, 5, 53, 12155827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 8:06 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -414314 (base 5) to base 14\nAnswer: -4dd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57887319.\nAnswer: 3, 7, 19, 59, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a)**(8\/15) assuming a is positive.\nAnswer: a**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/19 not equal to 16\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 67789683908.6+-3\nAnswer: 67789683905.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 238627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**3 - 20*n**2 + 2*n - 20. Let s be v(10). Suppose s*y = -y - y. Solve -3*m - m - 4 = y, -5*a + 4*m = -19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/19)*t**6)\/((t\/(t*t\/((t\/((t*t*t**(-6\/13)*t)\/t))\/t)))\/(t\/t**(8\/7))) assuming t is positive.\nAnswer: t**(14698\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -93*u - 643. Determine j(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -763 (c) -0.1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 - 22*y**2 - 315*y + 4900\/3.\nAnswer: -(y - 4)*(y + 35)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*((3 + 1 - 2)*(-473 + 473 - 39*k) - 5 + 3 + k + 4).\nAnswer: 77*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + n - 5. Let u be w(-7). Suppose 2*k + o - 27 = 0, 4*o = -2*k - 7 + u. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 at most 750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/288*-8*(-404)\/(-10). Let n = 336 + -1030\/3. Let a = n + v. Put 5, -3, a in ascending order.\nAnswer: -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 229253 + 229253.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.3. Let i = 110 - 168. Let m = i + 59. Which is the closest to -2? (a) m (b) 2\/9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/(3\/36). Let n be (-3 - 135\/(-36))\/(9\/84). Suppose 5*g - 535 = -5*f, -n*f + 117 = -k*f - g. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3395\/9 - -385. Let r = -5119\/657 + q. Let n = -139\/511 + r. Is -0.1 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 17.7. Let c(k) = k**2 - 3*k - 1. Let n be c(3). What is the nearest to n in 2, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k + 13. Let z(q) = 24*q - 64. Let s(o) = -14*f(o) - 3*z(o). Let u be s(5). Let t be 1\/3 + (-2)\/(-3). Sort u, 2, t in increasing order.\nAnswer: u, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 12*o**2 + 24*o + 42. Is x(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 179?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = -5*a + 185*k - 179*k, a - 4*k = 108 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 0 - (1 - 1). Suppose c - 3*l - 43 = d, -l + 251 = 5*c + 68. Suppose -2*k = -k - c. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 less than 3123\/185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k + 0*k)*(3*k - 2*k - 4*k)*(-319 + 87785*k - 87786*k + 1771) + 2*k**3 + 2*k**2 - 2*k**2.\nAnswer: 5*k**3 - 4356*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/7 (b) -1\/8 (c) 2\/77 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/7, -6, -34 in ascending order.\nAnswer: -34, -6, -0.4, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 25. Suppose -o = 4*s - 15, 2*x - 481 = -5*s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18596, 18209, 17574, 16691, 15560?\n\"Answer: -124*d**2 - 15*d + 18735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - m - 6*m)*(1 + 4 - 4)*((1 + 2 + 0)*(-4*m + 4*m - 2*m) + m + m + 0*m) in the form x + r*m + z*m**2 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60651 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9765, -9764, -9763, -9762, -9761?\n\"Answer: l - 9766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2 + 68*r + 186 = 0.\nAnswer: -31, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(1*sqrt(3)))\/(5*sqrt(16)\/sqrt(2))*-6.\nAnswer: -6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -6, -4, 1, 18234 in increasing order.\nAnswer: -6, -4, -2, 1, 4, 18234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h)**25\/(h\/h**(-1\/4))**(12\/13) assuming h is positive.\nAnswer: h**(-340\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i - 10. Let s be q(2). Suppose a + 4*a - 8195 = s. Let x = a - 798. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6450 divided by -222\nAnswer: -1075\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j + 12 = 4*n, -j = 5*n - 12. Solve 4 + 2 = 3*r + 3*d, -10 = 4*r - n*d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 538 = s. Let z = 313 - s. Put z, 1, -2 in increasing order.\nAnswer: -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 + 3*s - 6. Let u be h(4). Let a(b) = b**2 + 7*b + 2. Let i be a(-8). Calculate the greatest common factor of i and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d + 6. Suppose 5*v = 3*v - 4*c + 66, d*c - 132 = -4*v. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10302 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19318.7 - -2725908.\nAnswer: 2745226.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 7*g**2 - 18*g + 3. Let p(o) = 2*o**2 + 6*o - 1. Calculate 2*l(k) + 7*p(k).\nAnswer: -2*k**3 + 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2309?\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-698)\/72 + ((-25)\/(-4))\/(-5). Let f = c + 941\/126. What is the common denominator of (1\/3)\/((-14)\/(-122)) and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/8, 0.5, -59, -96.\nAnswer: -96, -59, -3, -3\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 58629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*a = -5, -4*a = -u + 6 - 1. Solve -2*q = u + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2226 is divided by 511?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**10\/1680 + f**6\/120 - 2*f**3\/3 - 3. Let m(s) be the third derivative of z(s). What is the third derivative of m(w) wrt w?\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 92*a - 458. Calculate v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 54*w**3 + 0*w + 45 + 1\/3*w**6 + 0*w**2 + 0*w**5 + 0*w**4 - 37\/7*w**7. What is the third derivative of g(l) wrt l?\nAnswer: -4440*l**3 + 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17516 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18145576?\nAnswer: 2, 2268197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38, 42, 46, 50?\n\"Answer: 4*v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (156*v**3 + 11*v**4 - 156*v**3)*(3*v + v - 6*v) - 7*v**2 + 7*v**2 + 5*v**5 + (4*v + v - 3*v)*(-3*v**4 + 4*v**4 - 3*v**4) + v**5 - 3*v**5 + v**5.\nAnswer: -22*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 21. Let l(i) = 3*i + 5 - f + 5. Let z(n) = 2*n. Let o(r) = -5*r. Let j(u) = -4*o(u) - 11*z(u). Calculate j(l(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 41\nAnswer: 28\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/342 and -95\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 5*k - 38. Determine j(8).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25187 + 57663. Is 8\/(-6) + n\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -1740 (c) -2 (d) 5 (e) 2\/3 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by (-5)\/(-15) + ((-12)\/45)\/(37\/(-17575)).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 52*m**2 - 50*m + 8. Calculate y(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 857.7 * -3\nAnswer: -2573.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**5\/(p*p\/p**(4\/3)))**20)**(1\/24))**(4\/5) assuming p is positive.\nAnswer: p**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -3*w + 3*w. Suppose -2*c - 2*d + 30 = w, 5*d + 0*d + 95 = 5*c. Calculate the remainder when (8\/6)\/((-4)\/(-78)) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c + 3*q + 12, 6 = 5*c + 3*q. Solve b - c*b = -i + 12, 3*i - 11 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288803?\nAnswer: 288803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 8, y: 4}. What is prob of sequence iyy?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32842549 less than -0.594874?\nAnswer: -0.92329949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 21 = -2*b, 0 = 3*b - 4 - 2. Let q = p - 15. Let l(x) = 5*x - x**q - 5*x + x - 4. Let n(o) = o**2 - o + 3. Calculate 2*l(i) + 3*n(i).\nAnswer: i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a + 5*a - 10*a. Let l(c) = -20*c**2. Determine d(l(x)).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 33 = -3*p, -4*d + 122 = -0*p + 2*p. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*c - 293 = 2*f, 5657*c + 201 = 5660*c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 + 2*r + 4. Let l(u) = -2*u**2 - 3*u - 5. Let n(x) = -4*l(x) - 3*v(x). What is the remainder when n(6) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/3))**9)**(-9\/5))**(-25) assuming x is positive.\nAnswer: x**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxa when three letters picked without replacement from lalxllfgf.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12 + (-85)\/(-30). Factor -2*a**2 - 2*a**2 - 2*a**3 + 3*a**i + 2*a + a**3.\nAnswer: 2*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 1:06 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/1368)\/((-3)\/(-1232)). Let f be (-1)\/(-4) + 404\/304. Let q = f + z. Which is bigger: q or -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:41 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.917 + 0.083. Let z = h - 24. Let j = z - 15. What is the closest to j in 2\/3, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -24*y + 4. Let w be d(-4). Suppose -4*g + 3*s = -91, -g - 4*g + w = -s. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 6:57 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8877577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37381 times 3068?\nAnswer: 114684908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 + -44. Let w = -0.6 - 0.3. Let k = w + o. Put 0.2, k, 2 in decreasing order.\nAnswer: 2, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/12 and (-1455837)\/363964 + (-1 - -5).\nAnswer: 57468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -27*v - 1. Let r be m(-3). Suppose 6192*p = 6213*p - 210. What is the highest common divisor of p and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3460*k**3 + 20445148*k**2 + 47272*k.\nAnswer: 4*k*(k + 5909)*(865*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 3647*s. Let h(r) = -3*r**2. Give t(h(x)).\nAnswer: -9*x**4 + 10941*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5*h + 28, -3*u + 2*u = h - 8. Factor -3*o**2 - o - 3*o**2 - u*o**4 - 5*o**3 - 4*o**3.\nAnswer: -o*(o + 1)**2*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (114 + 1)\/(16\/(-12)). Let j = -93 - k. Find the common denominator of 7 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -401 or -400?\nAnswer: -400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 8. Let b = -4 + 4. What is the remainder when (-4)\/((-12)\/45) - b is divided by o(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1074.314 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3268, 11803, 20338, 28873, 37408?\nAnswer: 45943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1916726, -3833473, -5750220, -7666967, -9583714, -11500461?\nAnswer: -13417208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.22 - 0.78. Sort 2\/19, 3, v in ascending order.\nAnswer: v, 2\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30b355 (base 15) to base 7.\nAnswer: 25454126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 496597*q**2 - 1. Let g(m) = 8*m. Calculate g(c(k)).\nAnswer: 3972776*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 4*f**2 - f - 2. Let z be h(-3). Let y(v) = -3*v - 3. Let a be y(-4). Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4951 and 3748612.7103.\nAnswer: 3753563.7103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (142434\/(-1845))\/((-1)\/((-430)\/(-4))). Suppose 0*f + 51396 = 4*f. Let l = f - r. Round l to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 23087*s + 4. Let n(w) = 7064575*w + 1225. Determine -1225*b(y) + 4*n(y).\nAnswer: -23275*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -42469.8?\nAnswer: 42464.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26542859.\nAnswer: 7, 29, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -9 - 0) + -12 + 26 + -3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -281 - -351. What is the highest common divisor of y and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(4)\/sqrt(2)) + (-2*sqrt(847))**2.\nAnswer: sqrt(7) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*y + 33658*f**2 + 12354*f*y - 2*y with respect to y.\nAnswer: f**2 + 12354*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**2. Let a(n) = 12*n**2 - 1. Determine s(a(o)).\nAnswer: 1152*o**4 - 192*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x - 1. Let f be d(-1). Let t be (-2)\/(-3) + 280\/84. Let y = t - f. Solve 5*j - y*o - 45 = -6*o, 10 = j + o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3119763 + -24915535\/8. Let c = -8580 - -3250. Let w = c + j. What is the common denominator of w and 85\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k**2 - 3*k**2 + k**2)*(-7*k - 3*k + k) + k**3 + k**3 - 5*k**3 + 0*k**3 + k**3 - 3*k**3 in the form o + s*k + h*k**2 + g*k**3 and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -43. Solve 2*d - n - t = 6, -5*d - 2*n = -25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -48.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + b**2 + 17*b + 9. Let c(x) = -x**2 + x + 1. Let p(j) = 5*c(j) - r(j). Let o(t) be the first derivative of p(t). Factor o(k).\nAnswer: -3*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -52*k + 1742. Calculate v(37).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Let z = 4.583 - 4.6. Let q = z - 2.983. Which is the nearest to 0.1? (a) v (b) q (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 1 - 5*f + f)*(-15 - 58 + 14)*(-5 + 1 + 3) to the form q*f + b and give q.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12905278051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -14 - 34. Suppose 5*n - 2*r + t = r, 5*r - 20 = 0. Let m = 1 - n. What is m rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + 11. Let l(q) = 4*q - 8. What is the remainder when l(11) is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y**4\/7 - 36634*y**3 - 2743561848*y**2\/7 - 75676609056*y\/7 + 346619839360\/7 = 0 for y.\nAnswer: -21356, -95\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -410*j*r**3*t**2 - j*t**2 + 2*r**3*t**2 + r**2*t + 245*r*t**2 wrt j.\nAnswer: -410*r**3*t**2 - t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782837?\nAnswer: 11, 71167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57108417 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/313404 and 57\/47320.\nAnswer: 40742520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 22. Let h = j - -23.096. Let w = -0.09600118 + h. Round w to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/3420479 and 47\/3151.\nAnswer: 78671017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(216)\/(sqrt(48)\/sqrt(6)))\/(sqrt(9) + (sqrt(9) - sqrt(81)\/(sqrt(54)\/sqrt(6)))).\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by (-16)\/(-12)*(20 - (4 + -5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 1:11 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27 and -0.4631203?\nAnswer: -12.5042481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4362 and 12?\nAnswer: 8724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 24 = 4*s, -5*t - 3*s + 24 = -4*s. Let l be (-204)\/(-16) + 6\/(-8). Suppose -8 + l = 4*w. Calculate the smallest common multiple of t and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 5:42 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1023424 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/93 in -0.1, -6\/25, 1\/10, 13, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 742*m + 23340. Calculate j(31).\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -30*y + 2. Let r be x(2). Let d = 16 - r. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 12.1. Let r(j) = -j**3 - 6*j**2 - 15*j + 7. Let c be r(-3). Is c < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 38*v**2 + 49*v + 2447. Let r(n) = -77*n**2 - 110*n - 4893. Let c(s) = 5*j(s) + 2*r(s). Find the first derivative of c(x) wrt x.\nAnswer: 72*x + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*w = w + 32, -4*p - 2*w + 44 = 0. Suppose -p*q = -13*q + 6. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1026 to the nearest ten.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.21 - -8.21. Let s = q + -8. Which is the closest to s? (a) -2\/15 (b) 2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**4\/78 + 74*u**3\/39 + 45*u + 2. Determine c so that r(c) = 0.\nAnswer: -74, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12015 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -377, 2, 5, 1 in descending order.\nAnswer: 5, 2, 1, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*o - 36, 2*t = 2*o - 10 + 42. Calculate the greatest common divisor of 412 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.169 - -0.031. Let g = 11.9 + -12. What is the second smallest value in g, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -52, -99, -170, -271?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -919, -3619, -8097, -14353?\nAnswer: -22387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba0 (base 15) to base 4.\nAnswer: 221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -870164, -870139, -870114, -870089, -870064?\n\"Answer: 25*q - 870189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 45. Suppose -l*r - 654 = -n, 4*r + 3165 = 7*n - 2*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11975729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 38 = 4*q, -q - 44 = 206*a - 199*a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 922771441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97829 is divided by 1038?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 73, 516, 1725, 4084, 7977, 13788, 21901, 32700?\n\"Answer: 64*p**3 - p**2 - 2*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2299 + -20654\/9. What is the common denominator of p and -97\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 21035, 11, -3, -1 in ascending order.\nAnswer: -5, -3, -1, 4, 11, 21035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36972.7336075 and -242.\nAnswer: -37214.7336075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6 - 12 = -2*a, -29 = -4*a + g. Let i be a\/(14\/6) + 20. Let z = i + 13. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353677*y - 3*y**3 - 353677*y + 16*y**3 + 4*y**3 + 9*y**3.\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 776*s - 799*s + 113643. Calculate the highest common factor of s and 671.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eggeeqgkqgdqkkkq. Give prob of sequence kkqe.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/(-78))\/(44*67\/451044).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 252.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*j**2 + 178*j**2 + 181*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 213149 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 106. What is the biggest value in 0.4, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271110825.\nAnswer: 3, 5, 1204937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -1. Let f = w + 29. Solve 20 + 5 = -f*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3533405 and 0.5?\nAnswer: 3533405.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30\/17 in 20, -1\/9, 5, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnninyiy. What is prob of picking 1 n and 1 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26532212 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104291 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 10) + 4 + -6 + -1 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(-6*7\/63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (28\/21)\/(2\/111) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105.07 milligrams to micrograms.\nAnswer: 105070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*p + 104 = 0, -4*x - 2*p - 9794 + 9742 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j - 17*j - 13*j - 748 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 + 54*p**2 + 0.\nAnswer: 54*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 63388?\nAnswer: 63390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.36. Let q = -0.3 + 0.34. Let n = q - j. Which is the biggest value? (a) n (b) 0.4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)*1*11. Which is smaller: o or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuuffuzquwfut. What is prob of picking 1 q and 2 w?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 7)*(1 + 0 - 2)*(7650*o - 3895*o - 2888*o).\nAnswer: 1734*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.029 + 0.029. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (229317\/(-66))\/(1\/(-34)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 7, -5, -2 in descending order.\nAnswer: 7, 0, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -24486692.2*-1\nAnswer: 24486692.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(288)*1*5 + -2)**2 - (-4 + sqrt(288)*1 + 5 + 1)**2.\nAnswer: -888*sqrt(2) + 6957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*d + 24 = -4*u, 0 = 4*u + 2*d + 22. Let m(i) = -i**3 - i**2 - 3*i - 3. Let s be m(u). Calculate the highest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(180)\/sqrt(5)) + -1 + (2*sqrt(45)*2)\/((sqrt(108) + sqrt(108)*2)\/sqrt(12)))**2.\nAnswer: -11*sqrt(5)\/3 + 641\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 15*b**2 - 18*b. Let m(h) = 6*h**2 - 7*h. Give 12*m(s) - 5*t(s).\nAnswer: -3*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2 + sqrt(275) + 2 + sqrt(275) - sqrt(275))**2 + -5*(-2 + sqrt(275))**2 - (4 + sqrt(275)*-3*-3)**2).\nAnswer: -23409 - 260*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-434)\/(-930)*-3*(15\/14)\/(-5).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 102196 = 4*h - 2*r, 4*h + 3*r - 102196 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -248 - 92*d + 248 + (-3*d + d + d)*(0 + 4 - 2).\nAnswer: -94*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 120208876 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 - 30\/(-9). Suppose -9*l + n*l = -50. Suppose -2*j - 3*j - l = 0. Put -1, j, -5 in increasing order.\nAnswer: -5, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 54*h - 50*h. Suppose h*x - 372 = 236. What is the highest common factor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 108*b**2 + 2. What are the prime factors of n(1)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 5*g. Find the third derivative of -3*v**2 - 5*v**3 + v**g + 2*v**2 - 2*v**2 wrt v.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6277.\nAnswer: 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59, -58, -59, -62, -67, -74?\n\"Answer: -q**2 + 4*q - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/8 and -36\/2455.\nAnswer: 19640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899105 is divided by 84?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t - 123*t**2 + 59*t**2 + 63*t**2. Calculate l(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let m(q) = q**2 + q - 1. Let a(y) = -5*y**2 - 6*y + 6. Let b(n) = a(n) + 6*m(n). Determine j(b(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 7\/6*i**4 + 0 + 0*i - 1\/30*i**6 + 2\/15*i**5 + 8\/3*i**3 - 3*i**2. Factor c(u).\nAnswer: -4*(u - 4)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 8\/4 - 5. Let d(l) be the third derivative of -l**5\/15 - l**2. Let a(m) = m**2 - m**2 - m**2. Calculate j*a(c) + 2*d(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*y, -2*o - 21 = -5*y - 0*y. Suppose -o*v - 5*f + 2*f = -14, 4*f + 8 = 0. Solve 0 = -5*d + v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 6:01 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3*v)\/((v*v**5)\/v))\/((v\/((v\/(v*v**(-4)))\/v))\/(v*v\/(v\/(v**(-10)\/v*v)*v*v)*v)) assuming v is positive.\nAnswer: v**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110000 + 1110?\nAnswer: 1111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-90)\/21 - -5) + -1 + 0. Let w = 0.1552 - 0.0552. What is the smallest value in -8\/27, -0.1, s, w?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2. Let t(p) = p**2 - 14*p + 25. Let g be t(12). Solve 0 = x - a + g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11985 is divided by 333.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*d - 135*d - 32704 = -610*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 142406\nAnswer: -1139248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/15, 11\/27, 1\/7, -1, -3, 4.\nAnswer: -3, -1, 1\/15, 1\/7, 11\/27, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4550 + 4549.95655. Round u to 3 dps.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110201122212020222 - 12?\nAnswer: -110201122212021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(2\/(-3)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 6*i + 8*i**3 + 3 + 4*i**4 - 7 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drmjq. What is prob of picking 1 m and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.19, 1, 0.2, -76?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14b6cb13 + -1?\nAnswer: -14b6cb14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928114064?\nAnswer: 2, 43, 1349003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2425 + 3?\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9651940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(-2*sqrt(108)) - (sqrt(833) + 1)*6.\nAnswer: -253*sqrt(17)\/6 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 2. Let s be -3*-3*40\/36. Let g be c(s). Suppose 4*k - g*k = 0. Solve 0 = 2*r - k*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from {u: 2, l: 1, m: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 48765 = 5*s - 10*s, 2*s - 19478 = 4*f. What are the prime factors of s?\nAnswer: 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007174168 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.6 + -3.2. Let s = -0.4 + -0.1. Which is the biggest value? (a) i (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = 12*t - 451290. Round t to the nearest one hundred.\nAnswer: 21500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - v = 612, o + o = -3*v + 306. Let y = o - 151. Solve -5*z - 31 = y*s, 0*s - 4*z - 5 = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10 + 1 + 2*x + 1 + 7 + 12. Calculate w(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -13*o - 23. Let h(u) = -2. Determine c(f) - 6*h(f).\nAnswer: -13*f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21360?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {k: 2, r: 1, a: 1, j: 1, l: 1, e: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.137?\nAnswer: 0.0685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 4. Let q = 0 - -5. Let v = q + s. Which is the third smallest value? (a) v (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*c = 2*c - 11, 4*c + 17 = -g. Suppose -5*t - 2*q - 3*q = -10, 0 = q - g. Is 2 + 157*(t + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6758 = -3*j + 127*j + 784 - 2458 for j.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3807478714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2528?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:27 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + l - 78 = 0, -i - 5*l = 3*i + 74. Let k be (-6)\/(-48) + (-62)\/i. Sort 0.2, k, 5 in descending order.\nAnswer: 5, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**4)\/a*a*(a*a\/(a*a**(-1\/4)\/a*a))\/a*a)\/(a**(-2\/3))**16*((a**(-1\/4))**14)**(-2\/9) assuming a is positive.\nAnswer: a**(637\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4 - 374*a**3 - 34181*a**2 + 34556*a.\nAnswer: -a*(a - 1)*(a + 163)*(a + 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 48 - 234. Suppose 0 = -9*s + x*s - 1034. Calculate the highest common divisor of s and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -63, -155, -309, -525, -803?\n\"Answer: -31*a**2 + a - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**7\/210 + 7*d**6\/360 + d**3\/2 + 3*d. Let v(s) be the second derivative of o(s). Find the third derivative of v(g) wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/((6\/(-69))\/(-6 + 4)). Let n = t + -141. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -410900 to the nearest ten thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) - 1*sqrt(200)*6 - (-2 + sqrt(200) + 5)**2.\nAnswer: -209 - 110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1176 and 3480666?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 185636, -13, -6, -1 in ascending order.\nAnswer: -13, -6, -1, 3\/2, 185636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -68*i + 2721. Let h be v(40). Do 248 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 33*m**2 + 34*m - 62. Determine v(32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 969359, 4, -21 in increasing order.\nAnswer: -21, 4, 969359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5130, 10190, 15182, 20106, 24962?\nAnswer: 29750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9*v**2 - 1. Let g(b) = -8*b**2 + 1. Let q(m) = -6*f(m) - 7*g(m). What is the first derivative of q(p) wrt p?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-1)*45\/(-180).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55227.\nAnswer: 3, 41, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112120011 - -201?\nAnswer: -10112112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, t: 1, u: 2, i: 2}. What is prob of picking 2 i and 1 u?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 20. Let z = 93.06 - 94. Let m = 0.06 - z. Which is the nearest to m? (a) 1 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 16063*a + 15875*a + 1.\nAnswer: -188*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000358337749 to five dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-462)\/1512)\/((-4)\/(-4))\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + (1*(0 + sqrt(833)) + -4 + sqrt(833) + 2)*2) + -5)**2.\nAnswer: 168*sqrt(17) + 13337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4528404 divided by 1132101?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765*o = 687*o - 892 - 1058 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (280\/(-5760)*-24 - 1482\/36)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 39*q + q**2 + 52 - 19*q - 46 - 25*q. Suppose 15 = 3*f + 3. Let y be h(f). Put -5, y, 4 in descending order.\nAnswer: 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*w = 1340 + 3460 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61780 and 14440.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49900497 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 269718360 to the power of 1\/2, to the nearest integer?\nAnswer: 16423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + m + 4 + 2*m)*(0 + 5 - 1).\nAnswer: 12*m + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w**(-3\/2)\/w*w)*w)**(-47))**(-3\/23))**(1\/59) assuming w is positive.\nAnswer: w**(1269\/2714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1834064 and 109\/70784.\nAnswer: 102707584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 13 + 14*z**2 + (-28*z + 41*z - 21*z)*(2*z - 2 + 2).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - o + 0*o - 10 = 0, -2*b + o = -15. Suppose -y - 4699984 = b*d + 3*y, 2*y - 8 = 0. Round d to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2020\/3 (b) -3 (c) -407\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (34 - -3)*(20 + 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjr when three letters picked without replacement from {j: 1, r: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/11)*k\/k**(3\/10)*k**(-28)\/(k*k**(-2\/17)) assuming k is positive.\nAnswer: k**(-52191\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*g + 74*g + 2*b - 425, 2*g - 283 = -b. Let d = 69 + -28. What is the remainder when g is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/7*(-133)\/38 + 46. Solve 54*o - p = 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 30 + 1 = -5*i, -i = -4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2 and -422\/1741 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*q + (5*q - 5*q + q)*(-11493 + 12842 + 87 + 21333 + 15656) to the form u + h*q and give h.\nAnswer: 38427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26 - 1)*(-126)\/(-630). Solve -10 = 4*g - 5*f, -4*g - 4*f = -y*g - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.6136 rounded to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.25 + -0.21. Let l = 0 + 1. Sort 3, s, l in ascending order.\nAnswer: s, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.5*5.\nAnswer: -182.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -57. Let v(s) = 3*s - 102. What is the remainder when 29 is divided by v(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 4*d + 11*d - 4 - 14*d**2 + 0 + 3. Let x be q(13). What is the greatest common divisor of 200 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**5\/20 - w**4\/12 + w**3\/6 + 2*w. Let a(g) = 12*g**3 - 10*g**2 + 8*g. Determine -a(t) + 10*i(t).\nAnswer: -2*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -48363.57 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -86*b**3 - 4*b**2 - 2*b. Let r be i(-2). Find the third derivative of 2*t**2 + t**3 + r*t**5 - 663*t**5 - t**3 wrt t.\nAnswer: 780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c**2 - 6*c**2 + 10*c**2)*(-5*c + 5*c - 9*c**2) as y*c + b*c**4 + f + t*c**3 + m*c**2 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/12)\/((-18)\/54)*(-35)\/(3920\/32)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 120 + 0 + 1 - 1. Let h be (-5)\/(-1)*(0 - 3 - -6). What is the greatest common divisor of h and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62902387 to the nearest integer?\nAnswer: 7931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 3, 109639 in decreasing order.\nAnswer: 109639, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 23 = -4*q, -q = 3*n - 5*q - 7. Let -24*f**4 - 12*f**5 + 33*f + 90*f**3 + 2*f**n + 5*f**5 - 96*f**2 + 2*f**5 = 0. Calculate f.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24, -2, 0.1, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 5*f - 17. Suppose 23*w + f = 24*w. Let q = -26 + w. What is the remainder when 6 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.9 + 6. Let b = 5.037429 + -0.037429. What is the closest to 0 in b, t, -0.05, 1\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19304, 19313, 19322, 19331, 19340, 19349?\nAnswer: 19358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 9127212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -144965420*-4\nAnswer: 579861680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -499*c**6 + 46*c**4 - 9941*c**3 - 521042109*c**2 wrt c?\nAnswer: -59880*c**3 + 1104*c - 59646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.04, 2, 2\/7, 5911, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12696 divided by 506.\nAnswer: -276\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**3)\/m*m)**(-7) assuming m is positive.\nAnswer: m**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**(-5\/4)*w*w*w*w)\/((w\/w**(2\/5)*w)\/w))**(-7\/4))**(-2\/41) assuming w is positive.\nAnswer: w**(931\/1640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 3 (c) -2\/13 (d) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8578911 or 8578845?\nAnswer: 8578845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.5, -5, -3\/4, -0.45, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*z + 1 - 3 - 2, 51*t - 825 = 3*z for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.024 + 41.976. Let z = k + -34. Let i be ((-4)\/(-6))\/(2 - 1). Which is the second smallest value? (a) i (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -0.3, -446, -0.035, 30?\nAnswer: -446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 32*w - 29. Let t be u(-31). Let x(m) = -m**2 - m + 1. Let a(o) = -4*o**2 - 5*o + 2. Determine t*x(b) - a(b).\nAnswer: 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y + 150. Calculate d(-32).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**2 + 32. Let a(o) = o + 664. Determine r(a(s)).\nAnswer: -3*s**2 - 3984*s - 1322656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(160\/(-112) + 8\/(-14)). Solve 5*k - 4*k - r = 5*t, 5*t = -5*k - 30 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/13)\/((d*d*d\/d**(1\/12))\/d)*(d**(-2))**(-39) assuming d is positive.\nAnswer: d**(11893\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a century?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -18) + (2 - -1). Suppose 6*i + y + 52 = 3*i, 2*i = -3*y - b. Let d = i - -21. Solve 0 = -d*x + 5*g - 35, -g + 3*g - 20 = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {i: 1, d: 1, y: 2, b: 1, s: 2, r: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 5*h - 21. Let f be q(-5). Let w(d) = 3*d**2 - 12*d + 2. Let y be w(f). Factor 0 - 2\/7*u**3 - 18\/7*u - 12\/7*u**y.\nAnswer: -2*u*(u + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x + 211. Determine p(-53).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362478*q - 362464*q + 1086746*q - 362191*q.\nAnswer: -387*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 9*v**2 + 27*v - 19. Calculate m(-10).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.46367 hours?\nAnswer: 1669212000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -116, -247, -378, -509?\n\"Answer: -131*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**5\/30 - 4*a**2. Let j(f) = -8*f**2. Give i(j(l)).\nAnswer: 128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99.0084 + 99.1. Let a = h + 0.7084. Which is greater: -9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 0 - 1\/2*r**4 - 7\/6*r**3 - 5\/2*r**2 - 1\/20*r**5 - 2*r. Let s be z(-5). Solve 0 = -2*u + 5*o + 15, -2*u + 2*o = u + s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/((-31620)\/272))\/((-72)\/(-260))\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312320123331 (base 4) to base 8.\nAnswer: 66703375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -5, -1\/3, 0.2, -403?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 185\/(-111))\/(((-4)\/(-9))\/1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -0*c + 259. Suppose 2*n = -o + 13, 2*o + 0*o = 3*n - c. What is the greatest common divisor of n and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/21 + (-3 - (-1131)\/357). Let t = 3.17 - 2.77. Which is the closest to s? (a) -0.5 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -223 - -316. Suppose 37 = -n + 3*n + v, 5*n + 3*v = k. Let i be (-15)\/n*8\/(-30). Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 5:45 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580*h**2 + 0*h + 336*h**2 + 4 - 117*h**2 + h - 248*h**2 - 362*h**2.\nAnswer: -971*h**2 + h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -2\/15, -4\/13, 3, 421, 6, -0.4?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -0.759, 0.1, 1\/7, -0.28?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 2\/913?\nAnswer: 2\/913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -81*s + 158. Let m(n) = -82*n + 160. Let w(y) = -5*m(y) + 4*q(y). What is the remainder when w(6) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10327498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 5 (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2508*y**6 + 1030*y**3 + 6*y**2 - 1245236 wrt y.\nAnswer: -300960*y**3 + 6180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 18*b - 5. List the prime factors of n(-5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8556 - 2511. What is the remainder when t is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 8:40 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k - 48 = 0. What is the highest common divisor of k and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {j: 1, c: 1, h: 1, l: 2, g: 1, u: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -91043302275?\nAnswer: -91043302270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4811*n**2*x - 3425167*n**2 - 96*n*x**2 wrt x?\nAnswer: 4811*n**2 - 192*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1225?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 150*o**2 + 731*o - 587. Give w(145).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 350086 to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -2*6\/4. Is 3 a factor of 9\/r*10\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 38 = -28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 5*(-30)\/(-25). Let l(t) = 45*t - 11. Let x be l(n). What is the greatest common factor of 26 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 36\/7, 0.9, -22, -1\/2866?\nAnswer: -1\/2866","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (-27)\/(54\/44)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2))\/k)\/(k**2*k)*k*k*k\/(k\/k**(-6))*k*k**(-2)*(k**(2\/7))**47\/(k*k**(-7)*k*k\/(k*k*k**(-1\/13))) assuming k is positive.\nAnswer: k**(1215\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3159 bigger than -3171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1519.95 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 9*h = -24. Suppose -b + 0 + h = 0. Let o(l) = -l**2 + 7*l + 11. Calculate o(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 8*b + 2. Let r = -392 + 422. Calculate the remainder when r is divided by q(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 112, 111, 108, 103, 96, 87?\n\"Answer: -i**2 + 2*i + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 52 (b) -20 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*w**3 - 28\/5*w + 2*w**2 + 0.\nAnswer: 2*w*(w - 2)*(w + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33616 + 68189. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14385295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-10))\/(-1)*(-740950)\/(-118552)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41546418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497.0198 minutes to seconds.\nAnswer: 29821.188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (4 - -2)) + 1 + -9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -617 (b) -0.0083 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 2*k + 1. Let h(l) = l**3 - l + l**2 + l**2 - 2*l**2. Calculate 4*h(a) + 3*x(a).\nAnswer: a**3 + 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -321*l**2 - 264.\nAnswer: -642*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (sqrt(832)*-3 + sqrt(832))**2 + sqrt(832) - (3 + -2 + sqrt(1573)*-2).\nAnswer: 30*sqrt(13) + 3326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 854 and 168?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -13*m**2 + 3*m + 6. Let i be z(5). Suppose r - 3*o + 4 = 0, 4*o - 3 = 5. Is i\/(-12) + r\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(((-15)\/(-6))\/(-5)). Suppose -101 = -j - 2*j + g*x, 0 = -3*x + 15. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**4 + 26*n**3 + 4623*n**2 - n + 88019?\nAnswer: 24*n**2 + 156*n + 9246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(266)\/sqrt(7) + sqrt(38))*5)\/((sqrt(16) + sqrt(16) + sqrt(144))\/sqrt(8)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12 + -32 + 17)\/((-9)\/(-30)). Suppose -1 = -t - 0. List the prime factors of (627\/6 - t) + (-5)\/k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, d: 1, n: 2, w: 1}. Give prob of picking 1 d and 1 n.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/24 + 3\/9. Let o be ((-38)\/(-266) + 32\/70)*5. Which is the second smallest value? (a) y (b) o (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhw when four letters picked without replacement from {h: 4, w: 2, y: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r + 8520 = -49*r + 17*r - 19*r for r.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1471179\/2 or -735590?\nAnswer: -735590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 15*g**3 - g**2. Let l = 10 + -9. Let r be p(l). Suppose -4*u + 10 = -t, -3*t + 2*t + 5*u - r = 0. What is the remainder when 11 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0563 * -46383\nAnswer: 2611.3629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)\/p**3)\/(p**(5\/4)\/(p*p\/(p\/p**(-1))*p)) assuming p is positive.\nAnswer: p**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 5. Let u = 97 - 98. Put a, 1, u in descending order.\nAnswer: 1, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 63, 171, 335, 561, 855?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 44.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuut when four letters picked without replacement from uttuuzzztzzuutz?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 - ((17 - 30 - 11) + 28)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*j = 2940 + 3856 + 854 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -1\/131, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4}. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**3\/6 - 3*t**2\/2 - t - 44. Let b(p) = 1. Let w be (-2)\/2 - (-5 + 6). Calculate w*v(l) - 5*b(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36189315 to 4 decimal places.\nAnswer: 0.3619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194093669.\nAnswer: 3, 317, 1255619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/60365473 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**2. Let h(d) be the second derivative of d**3\/6 + 9*d. Calculate h(i(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 430 + -448. Let x be (-176)\/(-18) - ((-158)\/n + -9). Solve -8*y + 6*y = -x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3743 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-2))\/11*(-8)\/((-12)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3077, -2905, -2617, -2207, -1669, -997, -185, 773?\n\"Answer: u**3 + 52*u**2 + 9*u - 3139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.22 + -2.78. Let w = 1.7 + 1.3. Let z = t + w. Is 2\/5 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 106*h - 258306. Determine w(-564).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/60)\/(5\/(25\/(-2)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7c5 (base 13) to base 8\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 1, r: 4, x: 9, w: 5}. Give prob of sequence xw.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*y - 2*v + 969, -4*y + 3*v + 1292 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16920 - 13028.1. Let o = u - 3227. What is o rounded to the nearest ten?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 434 and 308.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-15)\/(-2)) - (-196)\/(-315)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1202 + 106?\nAnswer: -1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c**2 - 2*c**2 + 3*c**2)*(4 - 2 - 1) - 5*c + 5*c - 3*c**2 + (2 + 0 - 4)*(0*c**2 + 8*c**2 - 2*c**2) to q*c**2 + d*c + w and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 0*s - s)*(4*s - 16 + 35 - 14)*((3 + 3 - 2)*(3 - 3 - 1) + 1 + 0 + 0) as k*s + r + t*s**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovvsorkkkvoovvkr. What is prob of picking 3 v and 1 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*a - 1)*(-2 + 2 - a) + 2*a**2 - a + a - a**2 + 382*a + 77 - 757*a + 373*a.\nAnswer: 3*a**2 - 2*a + 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63106*p**3 + 158156.\nAnswer: 189318*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 77. Solve 6*d = d + u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:24 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -740230528?\nAnswer: 740230526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, k: 2}. Give prob of sequence kk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 25. Let o be t(-5). Suppose o = 84*q - 79*q - 270. Calculate the remainder when 265 is divided by q.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 12:01 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-31713)\/(-15) + 12\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smssoomo. What is prob of sequence ommo?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(144) - -4*(sqrt(144)*3 - sqrt(144)) - sqrt(144)))\/(6*(sqrt(24)\/sqrt(2) + sqrt(12) - (sqrt(432) - 1*sqrt(432)))))**2.\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -56217 times 0.12?\nAnswer: -6746.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + l + 1. Let q be r(-1). Let k be 1*((4 - -45) + 2 + q). Let g = k - 52. Solve -3*v - 4 + 19 = g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 870 and 1885?\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 e, and 1 s when four letters picked without replacement from {e: 2, q: 2, h: 5, s: 10, c: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8655 is divided by 2695.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2837 is divided by 1297.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, k: 3}. Give prob of sequence kk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n - 10. Does 16 divide d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r - 6. Calculate the remainder when f(-6) is divided by 8\/36 + 302\/18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47788631 rounded to three dps?\nAnswer: 0.478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104522 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*y**2 - 1969086*y + 984545*y + 984541*y.\nAnswer: -233*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(10\/9))\/g)\/(g\/(g\/g**9)*g*g)*g*g*g*g**(-1)*g*g*g**9)**9 assuming g is positive.\nAnswer: g**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -9, -13 in increasing order.\nAnswer: -13, -9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2399421, -4798842, -7198263, -9597684, -11997105, -14396526?\nAnswer: -16795947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81203 - -187644. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -5098379\nAnswer: 45885411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**4 + 376*o**3 + 17044*o**2 + 63696*o + 62208 = 0.\nAnswer: -324, -48, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 2.591.\nAnswer: 1.2955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9*j**2 - 26*j + 8. Let u(b) = 13*b**2 + 39*b - 11. Let z(n) = -5*u(n) - 7*y(n). Let k = -19 - -13. What is the remainder when 17 is divided by z(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Let m(x) be the first derivative of -5*x + 10. Let z(o) = -o - 4. Let j(w) = -4*m(w) + 5*z(w). Determine t(j(u)).\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000167336 rounded to six decimal places?\nAnswer: -0.000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + w - 1 - 2*w)*(-360 + 1223 + 723).\nAnswer: -1586*w - 1586","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19 - -17)\/(10\/5773). Let b = 1147 + r. What is the common denominator of 57\/2 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 9.76?\nAnswer: 68.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.41 times 147?\nAnswer: -501.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-12)*(31 + 1920\/(-35) + 24).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrfr. What is prob of picking 1 f and 1 r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1051651849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43720591 rounded to 4 decimal places?\nAnswer: 0.4372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 19, -0.258, -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 5, -0.06, -9, 0.3 in increasing order.\nAnswer: -9, -0.3, -0.06, 0.3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20554667 to the power of 1\/2, to the nearest integer?\nAnswer: 4534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2*(-156)\/24?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:19 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5754783 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**2 + 4962. Let h(v) = 2 - 2 - 33*v. Determine h(w(a)).\nAnswer: -66*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 4555?\nAnswer: -5002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 + -3.4. What is the closest to 1\/4 in d, 2, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 - 83 = 2*h. Solve 1 - h = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521479 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.828 * 8.\nAnswer: -54.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 293 = p + 2*p, 4*q + 2*p + 236 = 0. Let g = -27 + 21. What is the tens digit of q\/(-3) + 2\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v + 238*v - 1317 = 552 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 228, 275, 284, 267, 236, 203, 180?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4\/l)**(-1)*l**(-1\/10)\/(l*l\/(l*l*l**(-1)*l)) assuming l is positive.\nAnswer: l**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57291999350 and -37.7.\nAnswer: -57291999387.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 y when three letters picked without replacement from {m: 13, y: 5}.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*j + 343*j + 2 = 2*m, -2*m + 6*j + 10 = 0. Let k(q) = -13*q - 33. What is k(m)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -54, 0.1, -3848, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ocooccrocroro. What is prob of picking 1 o and 2 r?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 8*g + 23. Calculate i(-15).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2185 or 2189?\nAnswer: 2189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1154 is divided by 65?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1010100011?\nAnswer: 1010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 90465.24 micrometers in kilometers?\nAnswer: 0.00009046524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.58 + -1.580002897. Round g to seven decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -41 - (6 + 1)) + (-8 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h - 9 = j, 5*h = 5*j - 5. What is the closest to j in -1\/2, -8\/3, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + ((-3)\/4 - (-15)\/4). Suppose -b*w + 8 = 0, 2*w + 3*w + 356 = 4*a. Let h = a + -91. Solve -2*y = -5*i + 6, -5*i + 3*i - 9 = h*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(3) + 2) + sqrt(3) + sqrt(363) + 0 + (sqrt(75) + sqrt(3) - sqrt(3))*-2)**2.\nAnswer: 60*sqrt(3) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167.388 milligrams to grams.\nAnswer: 0.167388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/528*354 + 11\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*k + 229*k = -201*k - 1560 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139e50 (base 15) to base 11.\nAnswer: 595975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 43. What is the nearest to 3 in l, 4\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 - 221 - (1 - 0 - -10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 188251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5999.389 micrograms in kilograms?\nAnswer: 0.000005999389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9442 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esa when three letters picked without replacement from sopaaepoaao?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 74\/5 of a second?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12445, -9755, -5285, 965, 8995, 18805, 30395?\n\"Answer: 890*d**2 + 20*d - 13355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326126.9 weeks to hours.\nAnswer: 54789319.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 2)*(-2835 + 1052*v + 2835) to the form t*v + u and give t.\nAnswer: -2104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/5 + 9012546*t\/5 + 6768832116843\/5.\nAnswer: 3*(t + 1502091)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 7:30 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 + z**2 - 4*z**2)*(-18*z - 44*z - 32*z + 27*z).\nAnswer: -134*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(468))*-5 + 1)**2.\nAnswer: -60*sqrt(13) + 11701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4248822 or -4248821?\nAnswer: -4248822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**7\/(s*s**(-2\/7))*(s*s**(-2\/21)*s*s*s)\/(s**3\/s) assuming s is positive.\nAnswer: s**(172\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-4256)\/(-2)*(-13 - 297\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6998 divided by -4?\nAnswer: -3499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, 47, -15 in decreasing order.\nAnswer: 128, 47, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 6.82. Let h = 0.08 - v. What is the nearest to h in -0.2, -2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Let a(p) = 1. Let q(g) = 3*a(g) - 4*t(g). Let c(l) = 17*l + 6. Suppose -65 = -d + 6*d. Give d*q(s) + 6*c(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 28. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228052*i**2 - 228046*i**2 + 4 + 2.\nAnswer: 6*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**4 + 3*n**4 + 2*n**4 + (0*n - 4*n + 3*n)*(-n**3 - n**3 + 4*n**3).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + -8 + 11)*1*-2. Solve -i*k = k - 4*j, j + 3 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.25, 106, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 555?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 402 and 773270919?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 713, 717, 721?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 7. Let d be x(-5). Let v(f) = 47*f + 1. Let q be v(-2). Let g = -648\/7 - q. Which is the second biggest value? (a) g (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**6\/120 + 3*a**5\/80 - a**4\/48 - a**3\/8 + a**2\/4 + 6*a. Factor y(r).\nAnswer: -(r - 2)*(r - 1)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d. Let w(r) = 30*r. Let o(j) = 4*j + 81. Let m be o(-15). Calculate m*f(n) - 4*w(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -20*w**3 - 2*w**2 - 101*w + 213. What is v(2)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + (32 - 44 - 7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -515 or -498?\nAnswer: -515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4194 or 4193?\nAnswer: 4194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1775111076 + 2\nAnswer: -1775111074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**(-3\/2))\/u)**(-36\/7))**7\/((u**(-2)*u*u\/u**0)\/(((u\/(u\/(u*u\/u**(-8)))*u)\/u)\/(u**(-1\/2)\/u))) assuming u is positive.\nAnswer: u**(-157\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 7:06 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 14 - (10 + -20)*(-1362)\/(-1236).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3 - 81*y**2 + 7560*y + 97200 = 0.\nAnswer: -60, -12, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 581, 1086, 1805, 2744, 3909?\nAnswer: 5306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 2*(0 - -1). Sort -2, 1, j.\nAnswer: -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31535192?\nAnswer: 2, 13, 89, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 a factor of 967868616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 314*q**3 + 3 + 340*q**5 + 7*q - 158*q**3 + 43*q**5 - 156*q**3 wrt q.\nAnswer: 7660*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.2. Let u be (-2 + 9)*(-2)\/(-7). Let b be (2 + -1)*(u - 2). What is the biggest value in t, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from jzzjzzzzzzj.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41927583 to the nearest integer?\nAnswer: 6475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6*(-2)\/(-3))\/((-2)\/97). Let k = 14 - 10. Suppose 2*s - 111 = -y, 3*y - l = -k*s + 143. List the prime factors of y.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**3 - 17*p**2 - 48*p + 19. Let k(a) = 5*a**3 - 18*a**2 - 47*a + 20. Let q(d) = -3*k(d) + 2*z(d). Let f be q(22). Solve 5*b - 4*b - 5 = f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sw when two letters picked without replacement from {n: 2, k: 1, s: 1, j: 2, w: 1, u: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/30*(-3)\/13. Let z = 830749\/358605 - 1265\/613. Let v = z - b. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**2 - 202*n + 198. Give h(49).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - k + (4 - 10 - 4)*(2*k - 4*k + 4*k)*(-2 + 2 + 3) to the form t + g*k and give g.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2040916246?\nAnswer: 2, 1789, 570407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11534.35 minus 0.296183?\nAnswer: -11534.646183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/6)\/(2\/12). Let l(q) = q**3 + 6*q**2 - 8*q - 4. Let c be l(-7). Find the second derivative of z + z - z**c - x*z wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111011011100100011 (base 2) to base 10\nAnswer: -243491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**3 - 540*c**2 + 15105*c - 28090 = 0. What is c?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (132 - 71*c**2 - 132)*(11*c - 24*c + 28*c) as h*c**3 + g*c**2 + l + t*c and give h.\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3907 is divided by 1938?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6) + 19\/(-38). Let t(f) be the second derivative of -f**5\/20 + f**4\/6 + 15*f**2 - f. Does 15 divide t(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 30. Let i be (11 + 3)\/(-22 - -24) - -3. Solve h*g = 14*g - i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2 + 15*d + 0 + 7*d**2 - d**2 - 7*d**2. What is the tens digit of z(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (7 + (47 - 16))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 25. Suppose 0 = 12*w - x*w - 1000. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u + 3 = 2*p, -4*p = 3*u - 7. Let f(k) = 6*k + k**3 + 4*k**2 + 7 + p + 3*k**2. Let o be f(-6). Solve 1 = -5*r - 3*h, o*r + 4 = 3*r - 2*h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -64, -0.4, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1023? (a) -0.1 (b) -2 (c) 1\/5 (d) 5 (e) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-5 - (-2 + (2 - 3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 15512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10031, -10028, -10025?\nAnswer: -10022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -25163.0906 to the nearest 100.\nAnswer: -25200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 9*j - 5*j = -10, -2*t + 7 = -j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n. Let y(u) = u + 12. Let m be y(-9). Let f(w) = -4*w + 12*w + m*w + 7*w. Give f(j(a)).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -185 + 14?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyiiyyyyyyyy. What is prob of sequence yiy?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o. Suppose p + 4*p = 4*i + 234, 4*p - 4*i - 188 = o. Is p a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 166477376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*f + 160, 9*f = 6*f + 12. What is the remainder when i is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 43 = -27. Solve -3\/5*t**m + 3\/5*t + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85339 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 137847204?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 6*l = 0. Suppose l*g - 24 = -4*g. Suppose -n - 10 = -3*p, 5*n + 4*p = g*n + 14. Solve -n*q + 8 = k - 6*q, -k - 2 = q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {z: 13, s: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 = 15. Let k be 2\/w + (-391)\/306. Let d = 0.03 + 0.97. What is the nearest to -1\/5 in d, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -192 < -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -6125*y**5 + 89075*y**4 - 417695*y**3 + 560425*y**2 + 326000*y + 40000 = 0.\nAnswer: -8\/35, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3\/5 + 4*n**2\/5 - 3264*n\/5 - 52992\/5 = 0.\nAnswer: -24, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.01 - -2. Let s = 0.39 - a. Let x = 3 + -5. What is the third biggest value in s, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1257, -1259, -1261?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 182?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4800 - 720*w - 3\/5*w**3 - 36*w**2.\nAnswer: -3*(w + 20)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83650 - -83649.6. Let p = 38 + -116\/3. Which is the closest to p? (a) g (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yykkyykykkkykyyykkpk. Give prob of picking 2 y and 1 k.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -783.7 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in minutes?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 28*u - 194. Let l be f(-14). Suppose 3*o = -l*o + 4*z + 200, 0 = o + 3*z - 21. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c - 7. Which is greater: 6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2 + 5*x - 4 + 3. Let s be b(4). Let v(t) = t**3 - 17*t**2 - 11*t + 10. Let g be v(18). Calculate the highest common divisor of s and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*v - 2721 + 2751 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 9:47 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 298.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2. Let b(w) = -3*w. Let n(c) = 75*c. Let d(m) = 153*b(m) + 6*n(m). Determine a(d(s)).\nAnswer: -162*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 25.8 and -12817359.8777.\nAnswer: -12817334.0777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6321 is divided by 122?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 400 and 1550?\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 32 - 5*f**2 + f**2 - 15*f + 4*f**2. Let u be i(17). Let s = 24 - 17. Solve -u = -3*g + s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - j. Let o(h) = h - 5. Let n be o(4). Let t be p(n). Suppose -d - t*d + 30 = -2*c, -4*d = -5*c - 45. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251898 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 45 = -57 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*q + 42*q - 3*q - 2*q in the form n + x*q and give x.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o - 3*o)*(-5*o + 5*o + 2*o**2)*(-17 + 5*o + 103 + 8).\nAnswer: -20*o**4 - 376*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b**2 + 2*b - 15. Let y(r) = -651*r. Calculate u(y(k)).\nAnswer: -3390408*k**2 - 1302*k - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/2*1\/4*2120\/(-71020).\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-4*8\/16)*-1. Solve v = -2*q + 4 + 2, 13 = p + 3*q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5002 - 5022. Let u(c) = -3*c - 41. What is u(b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147.6 - 148. Which is the second smallest value? (a) -0.2 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17 + 6*s + 46 - 24 + 0*s + s**2 - 177*s**3 - 2*s wrt s.\nAnswer: -1062*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 - -17 - -14 - (-14 - -29)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2459 - -2458.9. Which is the closest to 1? (a) -2\/3 (b) h (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63 or 14?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 670482*r**4\/11 + 99588*r**3\/11 - 112102*r**2\/11 - 8600*r\/11 + 5000\/11 = 0. Calculate r.\nAnswer: -1\/3, 50\/193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n - 3*c + 12 = 59, -c + 11 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 11:23 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11.633km?\nAnswer: 11633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.4. Let d = -0.1 - -0.1. Let r = d - -4. What is the smallest value in m, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + (sqrt(468) + 1)*-2)**2.\nAnswer: 24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, -15, -1, 33, 93?\n\"Answer: d**3 + d**2 - 10*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1765*m**3 - 85*m**4 - 1762*m**3 + 10*m**4 - 2*m - 35*m**4 to the form h*m**2 + w*m**4 + y*m**3 + j + d*m and give w.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + s + 126 + 480, 3*s = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -776960862*j**4 - 1104867613*j**2 wrt j?\nAnswer: -18647060688*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 31*d**2 - 31*d - 33. Determine g(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -260.9 - -261. Let z = 247.5 - 248. Which is the closest to f? (a) -0.2 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9963 divided by -123?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 11*r**2 - 23*r + 2. Let a = -13773 - -13767. Let v(c) = 5*c**2 - 12*c + 1. Give a*f(b) + 13*v(b).\nAnswer: -b**2 - 18*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 27 = -6*u. Let n = u - 7. Put n, 3, -1 in increasing order.\nAnswer: -1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 31*v**2 + 1. Let s(w) = -41*w. Let u(y) = -220*y. Let b(r) = 16*s(r) - 3*u(r). Determine b(i(q)).\nAnswer: 124*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, g: 2, m: 3, y: 1, v: 6}. What is prob of picking 1 m, 1 t, 1 y, and 1 v?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*m - 23 - 2, -4*m - 5 = -u. Let j(c) = -20*c + 1. Let h(n) = -39*n + 2. What is u*j(w) - 3*h(w)?\nAnswer: 17*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34942 - -11725. Let y = -23199.047 - t. Let n = y - 18. Round n to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5694711?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237107.\nAnswer: 13, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 2*k**2 + 2*k**3 + (4*k**2 - 4 + 4)*(-3*k - 2*k + 3*k) + 2*k**3 - 3*k**3 + 2*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**6\/12 + 11*f**5\/15 - 23*f**4\/12 + 2*f**3 + 4*f**2 - 3*f + 45. Let b(o) be the second derivative of m(o). Factor b(u).\nAnswer: -2*(u - 3)*(u - 1)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.1. Let j = 8 + -3. Let f = o + j. Which is the second biggest value? (a) 2\/5 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*d - 30 = 0. Suppose 0*r = 5*u - 4*r - 20899, -5*r - 20895 = -d*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212926036?\nAnswer: 2, 191, 337, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22136 (base 8) to base 11\nAnswer: 6aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/20)\/(175\/1520 - 58\/1102)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t + 14. Let p be q(-3). Solve -3*d + 5 = p*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3 - 3 + 31*h - 6*h + 5*h. Let b(g) = -39*g. Determine u(b(c)).\nAnswer: -1170*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.039 + 0.139. What is the second smallest value in 1\/2, 0, j, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -404, -385, -366?\n\"Answer: 19*z - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 98*p + 95*p + 36 = 0, -5*v - 36 = -2*p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1*4*-1)\/(4 - 2). Let u = 90 + -88. Solve 0 + y = -2*g - 2*r, 4 = -4*g + u*r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 454 and 51983?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 22409420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14668 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 18*f + 27*f. Let a = 15 + 9. What is the least common multiple of a and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*j + 1)*(-2*j - j + 2*j)*(125 - 125 + 26*j).\nAnswer: 52*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(132) + sqrt(132) + sqrt(132)) - sqrt(132))\/(-1*sqrt(12)*-3) - ((sqrt(11)*-1*4 + sqrt(99) + 5)**2 + 1).\nAnswer: -37 + 29*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.22214+-0.18102826932\nAnswer: -0.40316826932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 30644591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 628?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1795 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 231060.1 to the nearest 1000.\nAnswer: 231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (73 - 9) + (10 - -1 - (-15 - -19)) + -1\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/18)\/(-1))\/(50\/4)*3.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4555 + 145350?\nAnswer: 154345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, -2\/355, 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 7. Let t be z(6). Let h = 111 - 110. Which is the nearest to -2? (a) t (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9194273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2390 divide 44895872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -25, -23, -31, -55, -101, -175, -283?\n\"Answer: -k**3 + 4*k**2 + k - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*i**2 + 259*i**2 - 4*i + 4*i - 101*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 57885 = 2397. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-1))\/((-263)\/789). Solve 3*f - 1 = -2*r - 7, 0 = -4*f - m*r - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150130, 603047, 1358750, 2417239, 3778514, 5442575, 7409422?\nAnswer: 9679055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0602 - -77265794931.\nAnswer: 77265794931.0602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6*s + 2*d - 12 = 0, -4*s + 3*d - 11 = 0. Let i be s\/((-5 - -9)\/240). What is the greatest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:45 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -286 + 288. Suppose -4*x + 23 = -3*s + 4*s, m*s - 5*x = -19. Solve 18 = -3*y + s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-2)\/6*-3. Let j(i) = i**2 - i. Let c(g) = -2*g**2 - 3*g + 1. Calculate u*c(w) + j(w).\nAnswer: 3*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 4*l - 6*l - 2*l + 4*l + 0*l + (0 - 1 - 1)*(l + 0*l - 2*l) - 21*l - 2*l - 32*l)*(1 - 4 + 1) as a*l + m and give a.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4. Is f at most as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2115.5 + 1625. What is d rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7840967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 - 7\/(-3). Suppose 2*q = -4*b - 0*q + 18, 0 = -3*b + f*q + 10. Suppose -16 = b*r, -u + r + 2*r = -12. What is the smallest value in u, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*n = 306*n - 72074904. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.5743 and -1050176.8117.\nAnswer: -1050174.2374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, u: 1, r: 4, j: 5, i: 3, a: 4}. Give prob of sequence rri.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-24)*1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 119048, 238107, 357166?\n\"Answer: 119059*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3703 is divided by 411.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1015 divide 171156526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s\/s**(3\/5)))\/s)\/s*(s\/((s**(9\/2)*s)\/s))\/s*s)\/(s*s**1\/s)**(-12\/7) assuming s is positive.\nAnswer: s**(-293\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11*n + 11. Let m(w) = 7*w + 7. Let o(g) = 8*m(g) - 5*t(g). What is the remainder when 6 is divided by o(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 20, 2*t + 314 = -5*o - 216. Let j = 100 + o. Let i be 0*1\/(1 - -1). Put j, 1, i in ascending order.\nAnswer: j, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7200710 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215*f - 257.\nAnswer: -215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*x - 808, 6*x = 3*x + 2*h + 482. Suppose -3*u = -2*u - 18. What is the greatest common divisor of u and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + p + 0*p + 0*p. Let f(j) = 4*j. Calculate f(r(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or 2304254?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, 283\/37, -2\/9, 0.26?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*i - 0*i + 30, -3*x + 2*i + 21 = 0. Suppose x*w + 30 = 120. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crco when four letters picked without replacement from oroacrccaoo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 - 651*d**3 + 614*d**3 - 2*d**2.\nAnswer: -37*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5184886 is divided by 1120?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 114?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*8\/(-210) - 10\/(-25). Which is the nearest to -0.2? (a) d (b) -6 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - x + 13. Let o be l(0). Let j be ((-3)\/(-5))\/(o\/65). Solve 14 = -j*y + 6*y + 5*s, 12 = 3*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3*x - 5*x + 0.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2\/4 + 5745*r\/4 = 0. Calculate r.\nAnswer: 0, 1915","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100700 is divided by 3081?\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*x + x. Is 1\/x - (-948)\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c - 29. What is m(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.208 + 0.118. Is -6 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -41*n**3 + 20*n**2 + 22. Let l(p) = -41*p**3 + 16*p**2 + 25. Give -5*l(y) + 4*w(y).\nAnswer: 41*y**3 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 9.1. Let w = -16 + 19.9. Let k = w + n. What is the biggest value in k, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/72)\/((-17)\/(-2992)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 82*k + 324. Determine g(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 15*n - 5. Let l be s(-4). Let p = -19 - l. Let k(a) = 14*a + 46. List the prime factors of k(p).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*y = -25 + 9, -13 = -r - 4*y. Suppose 172 = k + b, b + 384 = r*k - 452. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 a factor of 286272615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 314 - 311. Solve 2*i = i - z*g - 9, 3*i = -5*g - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.087 - -40.12.\nAnswer: 50.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - a - 9 = -2*k, -3*a = 15. Solve 0 = k*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251353283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -183, 5, -2 in descending order.\nAnswer: 5, -2, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14 = -4. Let t(a) = -a**2 + 10*a - i - 2 - 2. Let w be t(9). Which is bigger: 1\/5 or w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*3 - (-1150)\/25. What is the highest common factor of 172 and n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50*(((-32)\/180)\/(-4) + 44\/(-99))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 7, 10?\n\"Answer: 3*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0124 times 13.2?\nAnswer: -0.16368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:15 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.49 - -2.27. Let v = g - -0.17. Which is the third smallest value? (a) 3 (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(1 + 14*l - 1) + 7*l + 17*l + 15*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**10\/37800 + h**9\/7560 - h**8\/5040 - h**7\/630 - 5*h**5\/12 - 24*h**2. Let k(b) be the third derivative of g(b). Factor k(s).\nAnswer: 4*s*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221407 is divided by 690.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-25 - 128\/(-16)) + 1022. Is 1005 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixteen sevenths of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*y + 339*y - 703*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -2\/15 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-9)*(-12)\/(-8). Let h(m) = 4*m - 4. Let a be h(5). What is the highest common divisor of a and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -176 - -181. Put q, -2, -2\/19 in descending order.\nAnswer: q, -2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 1. Let q(n) = 7*n + 2. Let k(o) = -q(o) + 5*v(o). Let s(z) = z + 2. Calculate -2*k(h) - 7*s(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 23*i + 24. Give o(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Let c be 0\/2 + 2 + 6. Suppose c*t = b*t + 25. Solve 5*h - t = -0*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/19)\/o**(-2\/5)*o**24*o**15 assuming o is positive.\nAnswer: o**(3733\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 770 and 1606.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32 + 26*p - 77 + 42 + (4 - 1 - 1)*(-5*p + 4*p + 0*p) - 3*p + 0 + 0.\nAnswer: 21*p - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.88 - -1.87999856. What is y rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (65888\/48)\/(4\/18). Suppose -5*k + 2055 = 4*x - 4137, 5*k = x + h. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -5, -4, -4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-224)*8)\/((-5)\/(-1220)). Solve 3*t - 37 = -n for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34510 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**2 + 750*a. Let i(t) be the first derivative of -2*t**3\/3 + 10260. Give g(i(z)).\nAnswer: 28*z**4 - 1500*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024130 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8252*l + 30. Let s(v) = 303*v. Calculate s(f(h)).\nAnswer: -2500356*h + 9090","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4218, -3596, -2560, -1110, 754?\nAnswer: 3032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193221121*-0.6.\nAnswer: 115932672.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 4*w - 24, 1055*q - 3*w = 1051*q + 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 253355357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 601\/1015 - 3\/145. What is the third biggest value in -3\/4, f, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 0 + 0)*(867 + 23 - 274 + 743) to b + n*w and give n.\nAnswer: -2718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 197 + 69 = 0. Let u = 96 - h. Suppose -4*z - b - 3*b + u = 0, z = 3*b + 12. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -29456*g + 942851. Give i(32).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 2:44 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 3613496?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w**3 + 28*w**2 - 13*w**2 - 12*w**2 - 3*w**2.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69223812 and 167244?\nAnswer: 761461932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 226b8 - -24?\nAnswer: 226dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -5 (c) 4\/53 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01 + -3.99. Let k = 579 - 575. Put 1\/7, c, 3\/10, k in descending order.\nAnswer: k, 3\/10, 1\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-6) + ((-128)\/(-24) - 5). Solve -z = -5*z - v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.563372433 rounded to 4 dps?\nAnswer: 0.5634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(1\/2)\/(8\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a**4 + 3*a + 25*a**2 + 144 + 4\/5*a**5 + a**3. Find the second derivative of k(q) wrt q.\nAnswer: 48*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 17 = 3*u + u, -12 = 4*u. Let x be (0*g\/(-2))\/2. Suppose -5*n + 5 = 3*b, n - 3*b - 1 = -x*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -1179 in decreasing order.\nAnswer: 1, -4, -1179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f**2 + 18*f**2 + 4946 - 4946.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10682 - -10683. Calculate the greatest common factor of g and 1381.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4787945707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -21. Suppose u - 182 = b, l*u + b = 426 + 292. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40 - ((-57)\/(-27) - (-3)\/(-27)). Calculate the highest common divisor of x and 532.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r**(-5))\/(r\/(r*r*r*r\/(r\/(r*r**(-2\/7)))))**(-31)*((r\/(r\/(r*r\/(r*r**(1\/7)\/r*r*r))))\/(r\/(r*r**(-1))))**(-3\/13) assuming r is positive.\nAnswer: r**(-24355\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10500 - -10508. What is the third biggest value in -0.042, -4, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288027726.\nAnswer: 2, 3, 7, 19, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (13 - (-2 - -15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -345 - -349. What is the greatest common divisor of t and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 36*w**2 + w + 2935. What is g(-38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -1150501?\nAnswer: 1150466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2047377*k**2 - 65*k - 22097 wrt k.\nAnswer: 4094754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + 35 - c**3 - 2*c**2 + 63 + 0*c**3 as m*c**2 + n*c**3 + w*c + v and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgmv when four letters picked without replacement from vgygzggfmfvm.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = 0. Let a(x) = -x**2 - x + 12. Let f be a(d). What is the derivative of v**4 + f*v**3 + 1 - 12*v**3 wrt v?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66559, -66558, -66557, -66556, -66555, -66554?\nAnswer: -66553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94708068 or 94708069?\nAnswer: 94708069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 7*c - 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 = 5*b - b - 3*u, 4*b + 3*u = 429. Suppose -2*v + 40 = -290. Calculate the remainder when v is divided by (b\/(-45))\/(1\/(-10)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 5. Let s be d(-13). Let x = 21 - s. Suppose 215 = 4*i - 3*n - 20, x*i + n = 186. What are the prime factors of i?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33265725067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**5\/40 + 23*q**4\/24 + 19*q**3\/3 + 8*q - 4. Factor c(g).\nAnswer: g*(g + 4)*(g + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7447.8974 + -2285.\nAnswer: 5162.8974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -109, -134, -167, -214, -281, -374, -499?\n\"Answer: -v**3 + 2*v**2 - 24*v - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 7*j**3\/3 - 77*j**2\/2 + 13*j. What is the tens digit of p(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -105aa9 + -4a1?\nAnswer: -10638a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 98816562 to the power of 1\/2, to the nearest integer?\nAnswer: 9941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:24 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -11*n**3 + 17*n**2 + 6*n + 9. Let z(w) = 4*w**3 - 6*w**2 - 2*w - 3. Let d(v) = 3*r(v) + 8*z(v). What is the remainder when 25 is divided by d(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -63*i + 3. Let f(g) = -3*g**2. Determine f(s(j)).\nAnswer: -11907*j**2 + 1134*j - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4339.492982 rounded to the nearest integer?\nAnswer: -4339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**2 + 2*y**3 - 6*y**2 + 7*y - 5*y**2 + 5*y**2 to w*y**3 + k + q*y + m*y**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30700 = 2063*s + 27148 - 8725 - 1674 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220232201231 - 0?\nAnswer: -220232201231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*i = -12, 3*i + 0*i + 15 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*k + 199 - 25, 3*k + 61 = s. Suppose -5*u = -s - 54. Suppose -4*w + 25 - 5 = 3*j, 2*w = -4*j + u. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -35. Suppose -2*t + 23 = 2*t - z*n, -3*t + 3*n = -15. Suppose -2*q - 2*y + 0 + t = 0, 0 = -5*q + 4*y + 20. What is the nearest to 0.2 in q, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**5 - 28*w**4 - 16*w**3 + 176*w**2 + 128*w - 256 = 0.\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 31.62. Let s = -0.62000054 - c. What is s rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + -34 + 3 + 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3 - 1102*m**2\/3 + 17326*m\/3 - 4560 = 0. Calculate m.\nAnswer: 5\/6, 19, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 12:39 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/19)\/(j\/(((j*j**(-27))\/j)\/j*j)) assuming j is positive.\nAnswer: j**(-530\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 - 3*c**3 + 4*c**2)*(2*c - 4*c + 0*c) - 4*c**4 - 3*c**4 + 4*c**4.\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136794456.\nAnswer: 2, 3, 1899923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*g - 1 - 46*g + 1 + 108*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**3 + 1437*t**2 + 336*t - 8278. What is m(-359)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12827290 and 0.0685.\nAnswer: 12827290.0685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 + 21*f**3 - 99 + (-4*f - f + 3*f)*(3*f - 3*f - 2*f**2))*(2*f - 3*f + 0*f).\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -7802.7 to the nearest 100.\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-68*s**3 - 78*s**3 - s**3)*(0 - 2 + 3 + (2 - 1 + 0)*(0 + 3 - 2) + 0 - 3 + 5 - 4 + 6 + 2 + 0 - 2 + 4) as a*s**2 + g + c*s + i*s**3 and give i.\nAnswer: -1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 62509397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (350\/150)\/((-70)\/(-660))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1431 - 891. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**5\/30 - h**4\/3 - 11*h**3\/2 + 9*h**2. Is k(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(((-72)\/(-30))\/(4\/5)). Sort 9, 1, g, 2 in decreasing order.\nAnswer: 9, 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbdlvvdhbvlbv. Give prob of picking 1 v and 2 d.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -5*s**6\/288 + s**5\/16 - 3*s**4\/32 - 14*s**3\/3 + 14. Let u(l) be the third derivative of k(l). Factor u(x).\nAnswer: -(5*x - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-14)*(-128)\/(-48)*(-33)\/3828?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 407 and 74?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1681 (b) 2 (c) -2\/9 (d) -0.2 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 27, 48, 67, 78, 75, 52, 3?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 5, t: 2}. Give prob of sequence tat.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*n + 22, -7 = -5*r - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjp when three letters picked without replacement from ppjjjjpjjjjjjp?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 31 = 68. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 768485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 12*s**2 - 19*s + 22. Let y be m(-10). Let p(l) = l**3 - 16*l**2 + 47*l + 15. Let h be p(y). Solve 8*t = h*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466609387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmx when four letters picked without replacement from mmmxtxtmx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6357 and 0.049994.\nAnswer: 6357.049994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*h = -177 - 323, -m - 108 = 3*h. Let u = m - -223. Let d = -32 + u. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 1)\/(4\/(-528)). Let f = y - -232. Let t = f + -310. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13) + 3 + sqrt(13) + 2 - sqrt(13)) - -5*sqrt(156)\/sqrt(48).\nAnswer: 7 + 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/(6\/(-9)). Let h(c) be the first derivative of -c + 4. Let g(q) = q**3 - 3. Let p(v) = v**3 - 3*v + 2. Let u be p(2). What is b*g(f) + u*h(f)?\nAnswer: -f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*n + 38*n + 33*n + 45*n + 39*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -323, -554, -801, -1064, -1343?\nAnswer: -1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q + 0*q + q + (2*q - 5*q + 2*q)*(-5 + 4 + 3) + (-3 - 64 - 4)*(3 - 3 + 1)*(-4 - 1 + 2)*(-2*q + 4*q - 3*q).\nAnswer: -219*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 2*l + 3*l. Let k = 43 + l. What are the prime factors of 2 + (1 - 0) + k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a**2 + 4*a + 4. Let c(k) = k**3 - 6*k**2 + 5*k + 5. What is 5*c(l) - 6*r(l)?\nAnswer: 5*l**3 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*f = 169097 - 55620. Which is smaller: f or 556?\nAnswer: 556","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) -2 (b) 49.73 (c) 24 (d) 4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k + 19*k + 2*k - 10434. What is the greatest common factor of 9 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -4.4. Let l be (390\/(-91) + 4)\/(5\/(-7)). Let n = 3 + -4. Which is the second smallest value? (a) n (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 12*b - 9. Let r be h(-11). Suppose -r*s - g - 4 = 0, 4 = 2*s + s - g. Suppose 5*q = -s*q + 120. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.427, 0.31, -144.\nAnswer: -144, -0.427, 0.31, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:18 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -102\/15523787?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -6*u**5\/5 - 11*u**4\/3 + 4*u**3\/3 - 27*u - 92. Let d(k) be the first derivative of s(k). Let d(l) = 0. Calculate l.\nAnswer: -2, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 2*c + 52. Let u = c + -69. Let -11*r**2 + 8*r**5 + 12*r**4 + 15\/2*r - 1 - 31\/2*r**u = 0. Calculate r.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 12:56 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -112*t**3 - t**2 - 5*t. Let j be c(-5). What is j rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6738615 + 6738615 - 3*r**3 - r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 8:45 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 473, 2193, 5911, 12383, 22365?\nAnswer: 36613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.47 - -5.567. Let y = 1.1 - k. Round y to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33545945 rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 - 2) - 9 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnbbnjjnbbnbbbn. What is prob of sequence jn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 641 = 21*g + 313 + 307. Let h = -76 + 78. Sort h, g, -1, 4 in increasing order.\nAnswer: -1, g, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4816908 and 567.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-18)*3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) + 14\/6. Let n = -150 + 159. Solve n + 1 = p*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 1\/22*x**4 - 14 + 0*x - 1\/11*x**2 - 2\/33*x**3 + 2\/55*x**5. Let q(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9607.\nAnswer: 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a5 + 760?\nAnswer: a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -45. Sort 1\/6, 2, -4, q.\nAnswer: -4, q, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymyyyyyyym. Give prob of picking 1 y and 1 m.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 86713 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-30)*(-64)\/112.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**6\/135 - 4*l**5\/9 + 493*l**4\/54 - 578*l**3\/9 - 2025*l - 2. Factor a(f).\nAnswer: 2*f*(f - 17)**2*(f - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -80, -87, -104, -137, -192, -275, -392?\n\"Answer: -h**3 + h**2 - 3*h - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/7 or 2\/109?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63705)\/5115 - (-12)\/(-22)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 23. Let i be l(11). Let w(a) = 63*a**2 + a - 1. What is the units digit of w(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4758 + 4769. Let b(c) = -3*c**2 - 46*c + 17. Let v(h) = -2*h**2 - 23*h + 9. Let w(s) = -4*b(s) + 7*v(s). Let o be w(i). Solve o*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*w**4 - 564329*w**2 + 7812477*w?\nAnswer: -48*w**2 - 1128658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*q**2 - 9*q**2 - 13*q**2 + 6)*(-2*q + 6*q - 2*q)*(0*q + 2*q - q).\nAnswer: 4*q**4 + 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 57109124 and 119402?\nAnswer: 56989722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580090 is divided by 11264.\nAnswer: 5626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -80685.75 rounded to the nearest ten?\nAnswer: -80690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1729.67 - 1648. What is v rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(343) + -4)**2 + 1.\nAnswer: -42*sqrt(7) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d + 248. Let z(j) = 2*j + 83. Let r(h) = 6*s(h) - 17*z(h). What is the tens digit of r(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5374 - 186. What are the prime factors of j?\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001001010111 (base 2) to base 3.\nAnswer: 212022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -22 + 4 + -4 + 4. List the prime factors of 569\/9 + 4\/i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60401 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4 - 337*o**3 + 1321*o**2 + 3657*o + 1998 = 0.\nAnswer: -1, 6, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -165?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -12*r + 2242. Let i = r + -168. What is the greatest common divisor of i and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 1452 = 9*v. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-21 + 26)) + -5 + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/29 - 427\/116. Let v be (1 - 0)\/(1\/(-2159)). Let c = 21621\/10 + v. Find the common denominator of c and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45011348.\nAnswer: 2, 197, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26.415 + 22.415. Which is the nearest to 1\/6? (a) -1\/4 (b) -1\/6 (c) v (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4567803 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((0 - 1) + 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*((z*z**11*z*z*z*z)\/z*z)\/z*z*z**(5\/4))**(1\/18))**(1\/6) assuming z is positive.\nAnswer: z**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694*u + 595*u + 404*u - 44736 = 77160 for u.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 s, 1 e, and 1 c when four letters picked without replacement from {a: 3, e: 3, q: 1, o: 3, c: 2, s: 2}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**3 - s**2 - 2*s + 2. Suppose -2*r - 6 = 4*y, -32*y - 4*r = -25*y + 10. Give c(y).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107671607 a multiple of 937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 2*d**2 - 5*d + 3. Let v be l(-4). Suppose 8*m + 0 = 40. What is the greatest common factor of m and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 85*z**2 - 352*z + 404. Let l(j) = 254*j**2 - 1058*j + 1211. Let w(p) = -11*b(p) + 4*l(p). Determine h, given that w(h) = 0.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8480*k**2 + 87*k + 4 wrt k.\nAnswer: 16960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -12. Suppose f = -q + 7 + 5. Let i = q - -14. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 57*i**2 + 146*i + 315. What is the tens digit of c(-60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 3. Suppose 2*i = -4*c - 9 - 17, 5*i + 9 = 4*c. Let x be q(c). Let h be 4*(63\/(-6))\/x. Which is smaller: -5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k**3 - 2*k - 4. Let x = -11 - -32. Let l = x - 24. Is m(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61.52313 + -3.54697. Let c = -65.1 - w. What is c rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 141 + -140.43. Let t = r - 0.56999939. What is t rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z = 12. Let n be 55\/88*4\/10. Factor 1\/4*d**z - n*d**2 + 1\/4 - 1\/4*d.\nAnswer: (d - 1)**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6650\/(-5700) + 27\/22?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 4*u + 47 + 23, -28*r + 32*r = 16*u + 248 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 11 = -5*t - 17, -2*i = 5*t + 32. Let g be ((-8)\/t)\/(-1)*-3. Let u = 2082 + -2072. Solve -g*m - 2 = -u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(5\/(105\/(-14))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 753 (c) 5096\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*o - 4966*o - 172890 = 0 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2. Let d(j) be the first derivative of 0*j**3 - 5*j**3 - 36*j**2 + 40 + 36*j**2. Give d(z(o)).\nAnswer: -135*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 20. Let z be r(9). Let v be 2*(-6)\/(-18) + z\/(-3). Solve 3*c + v*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 + 20 + 37 - 85)*(251*s - 308*s - 359*s)*(-3 + 5 + 0).\nAnswer: -46592*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*x - 13, 4*x = 7*x + 2*q - 11. Suppose 24*s = -209*s + 52192. What is the greatest common factor of x and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93575.49 plus 929?\nAnswer: 94504.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6872759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = x + 6*l - 6, 0 = -4*x + 5*l + 3. Suppose x*h = -2*h + 32. What is the third derivative of -c**2 - h*c**4 + 8*c**4 - c**5 wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-105)*10\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-2 - -2)) + (513 - 525).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3918 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11a - -338c?\nAnswer: 34a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 10:16 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4175020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gppj when four letters picked without replacement from jgppggggppppjpjgggg?\nAnswer: 63\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 286768 and 286767 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 1\/71009?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 16 = -o. Let z = 8 + -7. Suppose j = 37 - 42. What is the third biggest value in z, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -53*c**7\/21 - 129*c**3\/2 - 10*c**2. Differentiate m(g) wrt g.\nAnswer: -2120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -25, 1, -17145, 3, -4 in increasing order.\nAnswer: -17145, -25, -5, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adgddgagd. Give prob of picking 1 d and 1 a.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = 2*t + 89. Let l be 4 + t\/21*1. Let r = 0.02 + -1.62. What is the biggest value in l, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**5\/5 - 35*f**4 + 2450*f**3 - 85750*f**2 - 580*f. Factor w(c).\nAnswer: 4*(c - 35)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + 5. Let c(n) = 3*n + 5. Suppose 0 = -5*t - 20*x + 22*x - 29, -4*t - 3*x - 14 = 0. What is t*o(b) + 4*c(b)?\nAnswer: 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*z - 4*v + 6, 13 = z + 4*v. Is 10\/39 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20825882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (10 + -24)) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*l = -33 - 11, 0 = -5*h + 4*l - 57. Suppose -4*d + 5*r - 38 = 3, 0 = 2*d + 4*r - 12. Put -1, h, -57, d in decreasing order.\nAnswer: -1, d, h, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 1, 4, -17 in descending order.\nAnswer: 4, 1, -3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 75 + 495. Let i be (t\/(-9))\/5*1. Suppose s - 10 = 6*s. Is s > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75771188407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6639, -12 in descending order.\nAnswer: 5, -12, -6639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229012690554 - 9.\nAnswer: -229012690563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -9*r + 5*r. Let v = 51.2 + -51.3. Which is the third smallest value? (a) 1\/4 (b) -2\/13 (c) v (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {q: 2, j: 1, w: 1, s: 11, b: 5}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.018, -2, -0.39?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -169*h + 656. Let k be u(-10). What is the greatest common factor of k and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/6)\/((-6)\/(-18)). Let a = h - -7. What is the nearest to 1\/3 in a, -1\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*w, -4*w = 3*i + w. Let j = 142\/3 + -47. Which is the closest to i? (a) -4\/3 (b) j (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:33 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(32))\/(6*sqrt(256)))**2 - -2*(sqrt(150)\/(sqrt(192)*-3 - sqrt(192)))**2.\nAnswer: 353\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, -30, -72, -130, -204, -294?\n\"Answer: -8*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23847 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.3*-14.\nAnswer: 466.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -10*y**3\/27 - 118*y**2\/9 - 46*y\/3 - 488. Factor n(j).\nAnswer: -2*(j + 23)*(5*j + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (3 + -1)) + (-14 - -19)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -421? (a) 2\/13 (b) 5 (c) -2\/3 (d) -2246 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 20*x**2. Let m(c) = 624371*c. Calculate m(y(w)).\nAnswer: 12487420*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2)\/(45\/(-12)). Let m = 0.1 + -3.1. What is the second smallest value in -0.2, m, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.702 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1))\/v*v*v)**(-38) assuming v is positive.\nAnswer: v**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(126)\/sqrt(6))\/(sqrt(28)\/(sqrt(16)\/sqrt(4))) - (2*sqrt(48) + -5 + -4)**2.\nAnswer: -273 + 145*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006364554 rounded to six dps?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5448)\/(-66) - (-72)\/(-132) is divided by 38?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1534627309 rounded to 5 dps?\nAnswer: 0.15346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1344, 1335, 1326, 1317?\nAnswer: 1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 963220 and 340?\nAnswer: 963220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n - 97. Let a be q(10). Let w(b) = 4*b**3 - 2*b**2 - b - 1. Let u(p) = -p**3 + p**2. Let d(j) = -5*u(j) - w(j). Calculate d(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/896103 and 91\/7452.\nAnswer: 3584412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, -5, 0.4, 1\/160.\nAnswer: -5, -4, -0.2, 1\/160, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - s. Let b(y) = -y**2 - 4*y + 1. Let i(f) = -b(f) - x(f). Let q be i(-4). Calculate the highest common divisor of 44 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -15\/2. Let u = 0.143 - -1.857. Which is bigger: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -42 + 72 - 6*t + 5 - 7*t. What is a(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3\/8)*d*d**0)\/((d*d*d**(1\/3))\/d)**(1\/63) assuming d is positive.\nAnswer: d**(2425\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*q + 65*q + 75*q + 24940 - 12471 - 12469.\nAnswer: 88*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b3 - -244a9?\nAnswer: 240c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -156*(-2)\/51 - (-5 + 11).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 0.4\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -acc3 (base 15) to base 4\nAnswer: -20330121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132878, 132850, 132818, 132782, 132742?\nAnswer: 132698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(612)\/(sqrt(108)*4))\/(sqrt(9)\/(2*sqrt(3)) + sqrt(3) - (sqrt(3) - 5*1*sqrt(3))))**2*-5.\nAnswer: -25*sqrt(17)\/33 + 544585\/4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2\/103, -0.5, -0.06, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3 - 248949*z**2 - 15494025624*z - 15493776676 = 0. Calculate z.\nAnswer: -124474, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (8 - 12 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/200 + x**5\/50 + x**4\/40 - 6*x**2. Factor v(h).\nAnswer: 3*h*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -6*x - 64. Let a be i(-11). Suppose a*j - c + 4 = j, -4*j + 4 = c. Solve 4*t = -j*v - 2*v + 2, t + 16 = 5*v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 967004543 to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*o + 7 = 0, -2*g = 15*o - 11*o - 2. Suppose -g*y = -6*y - 185. Calculate the highest common divisor of y and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1186416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 4 - -3) + 1. Suppose 0*f = j*f - 24. Suppose 0 = 2*m - f - 22. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - (13 - (22 - 41)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -21. Let l be -32 + -1 - (-30)\/b. Let n = l + 53. What is the highest common factor of 153 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 5*w + w + w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 4*i - 8, -5*i - 169 = 3*p - 215 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {u: 2, e: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -708*g**2 + 636*g. Let n(f) = 7*f**2 - f. Let i(u) = -9*n(u) - z(u). Find the second derivative of i(q) wrt q.\nAnswer: 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/2)*s)**(33\/4)*(s\/(s*s**(2\/7)))**(-1\/14))**(1\/33))**(10\/13) assuming s is positive.\nAnswer: s**(625\/6468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -1. Let k = m + 0.4. Let f = k + 0.5. Sort -2\/11, f, 0.5 in increasing order.\nAnswer: -2\/11, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 = 5*h, -2 + 5 = h. Let d(z) = -4*z - 3. Let o(w) = -5*w - 4. Let i(j) = 7*d(j) - 6*o(j). Determine i(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o**3\/2 - 713*o**2\/2 - 65*o = 0 for o.\nAnswer: -2\/11, 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9\/7, 0.5, -1\/32, -4, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18932 - 18930. Solve -4*b + 13 = -5*l, 0 = v*l - 4*b + 7*b + 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7449*w**2 - 3441*w.\nAnswer: -14898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -66ca (base 13) in base 6?\nAnswer: -150254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 10996*p**2 - 6763*p**2 + 2 + 4775*p**2 as s + u*p + h*p**2 and give h.\nAnswer: -12984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 2. Let s be l(-2). Let h = 38 - 35. Suppose -s*k + h*k = -1255. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -4, 27, 90, 197, 360?\nAnswer: 591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -19113\nAnswer: -16\/19113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, y: 2, q: 2, l: 1, h: 3, u: 4}. What is prob of sequence hbu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.676 and 29.9.\nAnswer: -20.2124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**2 + 144*f + 113*f + 11*f**2 + 19*f.\nAnswer: 2*f**2 + 276*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*p**2 - 1 - 21*p**2 + 1281*p**3 - 1799*p**3)*(-2 + 4 + 0).\nAnswer: -1036*p**3 - 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(5\/(-2)*(-592)\/3700*15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1621, 878, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -585 + 598. Solve -16*f = -g*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 24*m**2. Let s(l) = l**2 + 12*l - 24. Let g be s(4). Let k(u) = -g*u**2 + 64*u**2 - 32*u**2. Calculate k(y(r)).\nAnswer: -4608*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103860 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (238\/(-4))\/((24\/6)\/(-8)).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32540 by -2157.\nAnswer: 32540\/2157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 9. Let q(t) = 4*t**2 - 3. List the prime factors of q(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.294 + 11.294. What is the biggest value in -5, -0.05, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 0, 0 = 2*c - 4*d - 9 + 1. Suppose 7 = s + 2*k - 3, 0 = -4*s - c*k + 32. What is the smallest common multiple of 2 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1384)\/(-72) + 8 + (-2)\/9. Let p be -42000*(-774)\/s*(-10)\/(-4). Round p to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 7629585.\nAnswer: 1\/2543195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -45)*(-14)\/(-21). Let d = x + 2. Let i = d + 46. Calculate the remainder when 35 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2229*-0.0941.\nAnswer: -0.02097489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 8*f**2 - 12*f + 9. Suppose 0*j + 6*j - 78 = 0. Let g = 19 - j. What is the units digit of s(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2086*s + 155531 = 5703*s for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1652977\nAnswer: 1\/1652977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - q**2 + 0 - 4 - q to the form y*q + w*q**2 + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 320021141 + 3?\nAnswer: 320021144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 + 5*t. Let g be w(-2). Let p be (g\/6)\/(11\/33). Suppose 3*n + p*l = 5, l + 3 = 5*n + 4*l. Solve 3*y = 2*h - 11, y + h - 3 + 0 = n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-2\/25)*v**3*(v**3)**(15\/7) assuming v is positive.\nAnswer: v**(1839\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 24*z**2. Let p(f) be the first derivative of 0*f - 3\/2*f**2 + 14. Calculate p(u(t)).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2797930?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 2\/1523 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 155. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105531 - -2310?\nAnswer: 111141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 12*g**2. Let o(q) = 5*q - 4. Let j(x) = x - 1. Let m(c) = -4*j(c) + o(c). Calculate i(m(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 + -367\/4. What is the nearest to 3 in 2\/3, 4\/5, d?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10932844818221 + -0.1?\nAnswer: -10932844818221.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 307754994?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1948*f**6 - 348*f**2 + 2 wrt f.\nAnswer: 233760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5658468 or -45267743\/8?\nAnswer: -5658468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x - 1. Let h(b) = -b. Suppose -24*t + 29*t = -20. Suppose 0 = 5*y, -d + 2*y - 2 = -3*d. Determine d*p(c) + t*h(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/((-3 - 1) + 5). Suppose -2*i + 4*n + 12 = y, 4 = 2*i + 4*n - 0. Sort 2, -5, i in decreasing order.\nAnswer: i, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m - 15 = 0. Let s be ((-34)\/54 + 300\/(-8100))\/((-2)\/(-27)). Sort m, -5, s in descending order.\nAnswer: m, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885152 a multiple of 766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-4 - (12 - 20)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*u - 7. Factor 1 - 3*d - u - d**3 + 6*d.\nAnswer: -(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 82695.42831 and 255?\nAnswer: 82440.42831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6441 is divided by 170.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 18*b**2 - 15*b + 19. Determine h(-17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Calculate the common denominator of ((-12)\/(-32))\/(76\/(-36) - -2) and 33\/5 + o\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -11*x**4\/3 + 512*x. Let y(i) = 46*i**2. What is p(y(a))?\nAnswer: -93104*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92859, 184328, 275797?\nAnswer: 367266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89316 = -10*r - 89446 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 4*k - 10. Suppose 5*u - 6*u = -10. Let r = u - 0. What is the units digit of z(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddw when three letters picked without replacement from wwwwwddddwwwwd.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.0041697\nAnswer: -0.0083394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 5 + -6 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*w + 2 - 5 = 0, -4*w = 4. Suppose -4 = -4*f - 0*f. Find the common denominator of 47\/5 and f\/(-5)*51\/g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 220*w + 1098. Determine i(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -0*v - 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1562*t + 4277*t + 124526 + 998*t - 124526 as o + l*t and give l.\nAnswer: 3713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8141 + 8142. Which is bigger: 111 or h?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 80 - 40 - 1057*g.\nAnswer: -1057*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15192 - -21000. Is -1 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-42)\/(-8))\/(54\/72). Let t(p) = -p - 6 - p**3 + 3 + 2 + a. Determine t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or -22?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**4 - 11*t**2\/2 + 17*t. What is the first derivative of q(y) wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) 230.9 (c) -0.3 (d) 0.3 (e) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2695) + sqrt(2695)*3 + sqrt(2695))\/(sqrt(60)\/(sqrt(12) - sqrt(12)*2)).\nAnswer: -35*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3 + 0*k**2 - k**3 + k**2 + 2*k**2. Suppose 2*j + 3*y - 6 = 0, -2*y - 6 = -2*j + y. Let a be l(j). Let p(g) = -2*g**2 + 4*g - 1. Determine p(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeet when four letters picked without replacement from teteee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -15*l**2 - l + 1. What is z(-2)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 2:33 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -13*h**2 + 9*h. Let n(v) = 3*v**2 - 2*v. Suppose 3*y = -y - 8. Let x(m) = -2*m**3 + 2*m**2 + 3*m. Let w be x(y). Let p = 8 - 4. Give p*u(i) + w*n(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -6. Let g(f) = -6*f - m - 4 + 5. Let x(u) be the third derivative of u**5\/30 - 2*u**2 + 179. Determine g(x(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/438 and 113\/12.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 11:20 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 584 + -12845\/22. Let f = -7\/22 + o. Sort 0, f, 3 in descending order.\nAnswer: 3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -1)*(-2 - -2). Let d be 1 + -1 + y - 6. What is the units digit of d\/(-3 + 0 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + k + 3. Let h be m(0). Suppose -h*a - 18 = -4*a. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + f - 1. Let g be c(2). Let n = 50 + -30. What is the highest common factor of g and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76375249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**2 + 5*p**2 - 3*p**4 + (2*p**3 - p**3 + 4*p**3)*(-6*p + 2*p + 7*p).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -21912 divided by -996\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 64*a**2 + 654*a - 112. Calculate d(-73).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.000461 + -477.426461. Let y = -0.426 - p. Let g = 477.0207 - y. What is g rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*q = 154*q + 18963. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7*(-10)\/15*(-147)\/14?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/6 in 3\/4, -36.612, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pun when three letters picked without replacement from {n: 2, u: 4, k: 6, p: 4, q: 1, h: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and 2?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6245*q**2 + 7362*q + 24. Let n(v) = v**2 + v + 8. Let w(a) = 3*n(a) - o(a). Find the second derivative of w(s) wrt s.\nAnswer: -12484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35*n**2 + 3493 - 3044*n**4 + 35*n**2 + 2400 wrt n.\nAnswer: -12176*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -110*w + 9. Let h(a) = 339*a - 30. Determine 7*c(z) + 2*h(z).\nAnswer: -92*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 13*w - 4. Let i(c) = -c**2 + 4*c. Let s be i(2). Suppose l = -s*l - 55. Does 9 divide m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 126, 112, 94, 66, 22, -44?\n\"Answer: -c**3 + 4*c**2 - 19*c + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4\/4 - r**2 + 7. Find the second derivative of g(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -465, 0.17, 14 in increasing order.\nAnswer: -465, 0.17, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5051 or -5052?\nAnswer: -5052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 16*n**2 + 43*n - 43. Let j be v(13). Solve k - 1 = -y, -j + 19 = -5*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.255872 (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2982 = -0*n + 4*k, -n + 606 = 4*k. Suppose o = 14*o + n. Let c = -36 - o. Does c = 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554 is divided by 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 201146.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (3 - 0) + 3 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*o - 960 = -951, -5*o = q + 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/6)\/((-11)\/33). Let i = 13 - v. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*m + 154\/3*m**2 - 1\/3*m**3 + 150 = 0. What is m?\nAnswer: 1, 3, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r + 200*r = -2028 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**7\/35 + 3*n**3\/2 + 7*n**2. What is the first derivative of x(u) wrt u?\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25763, 25849, 26071, 26495, 27187, 28213, 29639, 31531?\nAnswer: 33955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -5.8. What is the nearest to -94 in j, 3\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 6*b - 35. Let q be g(-4). Suppose -q*h + 232 = 3*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Suppose 1 = -r*b - 119. What is the common denominator of b and 25\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-1) + 77595\/105. Calculate the greatest common divisor of g and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33203404 (base 5) in base 10?\nAnswer: -287979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10936 - -10931. Let i = -5.4 + 0.4. Let g = -2 - i. What is the smallest value in z, 0, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -84*w - 3. Let h be o(-1). Let b be -9 - (2\/(-2) - -1). Let g = h + b. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -0.3, 3, -0.08, 0.4, -2\/329?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 r when three letters picked without replacement from urrurhr.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 184, 259, 334, 409?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdb when three letters picked without replacement from bbbbbdbbbbbddbbbbbbb.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -14*q - 2. Let v be i(-2). Suppose w - v = 6. Suppose 3*m - 1 = w. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-2))\/(2\/(-26)). Suppose 72 = 3*l - a. Calculate the remainder when l is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (23 - -25779974) + (0 - -3). Round t to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6245.83 rounded to the nearest ten?\nAnswer: -6250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 390 = -s. Let z = 82 - s. Let m = 57 + z. Calculate the greatest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 18*r**2 + r + 4. Let s be p(-18). Let j = s + 39. Calculate the greatest common divisor of j and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2908861, 5817741, 8726643, 11635567, 14544513, 17453481?\n\"Answer: 11*r**2 + 2908847*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 19*l**2 + 20*l - 19. Let a(i) = -3*i**3 + 58*i**2 + 61*i - 56. Let q(k) = 2*a(k) - 7*x(k). What is the remainder when q(18) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, 19, 28, 37, 46, 55?\n\"Answer: 9*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28709.6 + -28705. Which is the biggest value? (a) 0.2 (b) k (c) -0.04 (d) -1\/6 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {j: 3, n: 13}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2839, 2816, 2765, 2674, 2531?\n\"Answer: -2*g**3 - 2*g**2 - 3*g + 2846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (3 - (10 + -3))) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v. Let n(u) = -5*u + 1. Let c(k) = -2*g(k) - 3*n(k). Let l(q) = 8*q - 4. Suppose -3*h = 0, -2*h - h = 5*i - 30. What is i*c(w) - 5*l(w)?\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10235550 is divided by 3444.\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*k = -86, 2*i + 5*k - 8 - 40 = 0. Calculate the remainder when 94 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2208 + 8049. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/630 and 16\/3.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 10:31 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -3 (c) -0.061 (d) -6 (e) -0.4 (f) -2\/15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 90, -26882 in descending order.\nAnswer: 90, -4, -26882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -c + 13, -3*c - 16*a + 12*a + 23 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 39. Let o be m(-12). Put 3, 0, 4, o in increasing order.\nAnswer: 0, 3, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2))**(1\/14)*((f**(-2\/17)*f)\/f)\/f*f*f**6*f*f*(((f*f**(-2))\/f)**(-17))**(-27) assuming f is positive.\nAnswer: f**(-433233\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3563, 7038, 10487, 13898, 17259?\nAnswer: 20558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8650 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 27579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 96047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2 + 22. What is the remainder when (-3)\/(6\/13)*-6 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 19 + 20)*(7*v - 3*v - 2*v) as u + c*v and give c.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 5:20 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -60. Suppose -2*z = 2*z - v. Let p be -1*3*(-4)\/6. What is the greatest common factor of z and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64696267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11983972717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0157 and -0.051.\nAnswer: 0.0008007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3402)*-1)\/(sqrt(66)\/(1*sqrt(11))))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.1, -2, 0, -0.0336?\nAnswer: -0.0336","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v = -875 - 910. What is the highest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 5*l - 30, -3*k - 10 = -0*k - l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-1 - 0)) + 2 - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29.74509 + -0.2\nAnswer: 29.54509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1334\/(-5) - 0\/(-1). Let v = m + 266. What is the common denominator of v and (-5)\/10*122\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -772 + 771.999999577. What is c rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121 + 60 + 791*i - 38*i + 58 to the form y + f*i and give f.\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiyy when four letters picked without replacement from yyyyiiyyyy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 1311*r - 9 + 262*r to j + l*r and give l.\nAnswer: 1573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5908121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 + 569 = -10*a - 12*a. Put -5, -14, a in descending order.\nAnswer: -5, -14, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 = -10*s + 5*s, -p - 2*s = 0. Let g be ((-4)\/p)\/((-5)\/(-75)). Let d = g + 69. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-25 + 1 + -3). Let f be 5\/(-2)*24\/r. Which is smaller: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36584*q = -36579*q - 3*h + 13, 4*h - 28 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -1.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 1, d: 1, v: 1, b: 1, i: 2}. What is prob of picking 1 d, 1 q, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 210173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -20*k - 18. Let t be q(-3). Let b = -31 + t. Suppose 0 = 6*v - b*v + 25. Sort v, -2, -1\/7.\nAnswer: -2, -1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a = -29*a - 90 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-24)\/18*6\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 678*z - 1361. Let q be l(2). Which is the nearest to -7? (a) 0.9 (b) 7 (c) 3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2482043117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -162*k**4 + 6*k**2 + 36*k + 36. Let s(u) = -23*u**4 + u**2 + 5*u + 5. Let i(l) = 36*s(l) - 5*z(l). Find the third derivative of i(o) wrt o.\nAnswer: -432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*q - 48 = 79. Let v(r) = -15*r**3 + 7. Let n(w) = -23*w**3 + 11. Let h(i) = 5*n(i) - 8*v(i). Give h(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 - -114. Let a be (-8)\/b*(-9)\/(-6). Solve 5*i - 32 = -a*r - 5, 6 = 2*i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7*((-20)\/14 - -1). Suppose p = q*p + 2*f - 362, 2*p - 338 = 4*f. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*g + 64*g - 69*g + 71*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 337383 to the power of 1\/2, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -302302 (base 4) to base 6\nAnswer: -23014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 470 + -1017\/2. Find the common denominator of 70\/81 and v.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 5*m**2 + 8*m + 15. What is the lowest common multiple of 5 and b(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -145809, -291616, -437423?\n\"Answer: -145807*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892488.8 months in decades?\nAnswer: 15770.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*m**3 - 12*m**3 - 6 + 3 - 4 with respect to m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j + 12. Let x be d(-4). Suppose -7*b + 49 = -x*b. Calculate the smallest common multiple of (-2)\/b - 9\/(-42)*34 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -367852 or -226?\nAnswer: -367852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1600) - sqrt(1600)*2)*-3)\/(-2*((sqrt(392) - (sqrt(392)*1 + sqrt(392))) + sqrt(392) + sqrt(8))))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927446897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 44760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/6 + z**3 + 20*z. Factor v(p).\nAnswer: -2*p*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 54.\nAnswer: -43\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1974)\/(-12) + 2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 4. Let x be z(3). Let r be ((-2)\/(-5))\/(1\/x). Let o = -133\/9 + 15. What is the closest to -1\/4 in -1\/9, o, r?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -1, -6.6, 2\/7, 2\/5, 2.\nAnswer: -6.6, -1, 0.05, 2\/7, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**6\/240 + 139*o**5\/120 - 275*o**4\/48 + 137*o**3\/12 - 251*o**2. Factor v(j).\nAnswer: -(j - 137)*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16300 times -1\nAnswer: -16300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, z: 1, h: 1, n: 1, j: 1, v: 5}. Give prob of picking 1 v and 1 j.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/(f**1\/f))**(6\/13) assuming f is positive.\nAnswer: f**(-42\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -16625177 to the nearest 10000.\nAnswer: -16630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 3)*(-5 + 6 + 0)*(-62 - 35*r + 62).\nAnswer: 35*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 52 = -2*y, 5*d = 9*y + 9*d - 2*d + 195 + 61 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100010 + -11?\nAnswer: 11011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -294 and 411.64 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -11*x + 4*w - 10, -5*w = -3*x + 1. Suppose -n + 256 = x*g, 0 = -3*g + 5*g - n - 248. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1\/2, 0.3, 1\/6, -1\/4, -508, -67, -1\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.052 + -0.052. Let k = q + -15. Let x = 7.8 + -8.8. Is k >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 2.692, -2\/11, -2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -10 + -4 - -21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -5*y - 49 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8139 at least -7347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1038, -1, 5 in ascending order.\nAnswer: -1038, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45502 and 12?\nAnswer: 273012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, k: 2, e: 3, j: 2, f: 9}. What is prob of picking 1 x, 2 e, and 1 j?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5 + 8 - 48*c**3 + 16*c**3 - 20*c**3 wrt c.\nAnswer: -156*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 10*t - 14. Calculate the least common multiple of a(6) and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/15 + (-1392)\/(-290). Solve 53*i + y = 54*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 293*i**3 + 10*i + 11. What is f(-1)?\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -578258, -1156489, -1734720, -2312951?\nAnswer: -2891182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -6. Suppose 44500000 = -2*o + d*o. What is o rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6.5, 7.1, -2\/11, 3\/8 in decreasing order.\nAnswer: 7.1, 3\/8, -2\/11, -5, -6.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a + 2*a**2 + (-26*a + 0*a - 13*a)*(-4*a + 2*a + 3*a) - 2*a**2 - a**2 + 2*a**2.\nAnswer: -38*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 4*j + 1. Let t be b(-2). Calculate the remainder when t*(-21)\/9*2 is divided by ((-5)\/(-3))\/((-1)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 35 + 7. Let d be (4\/7)\/(12\/u). Factor 4\/3*k + 0 + d*k**2.\nAnswer: 2*k*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - 0\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196 + -393\/2. Let g(d) = d**2 + 6*d + 5. Let j be g(-6). Suppose j*m = -10 + 30. What is the smallest value in s, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/20436 and -79\/58426.\nAnswer: 4557228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1406470\/17 and 82735 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-144)*-9 - (-10)\/4. Suppose 2*i + 41 = -3*i - 4*z, -n*i - 19 = z. Let o(r) = r. Let k(c) = 4*c + 3. Let y(q) = k(q) - 2*o(q). What is y(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -679570 != -679571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4580 = 11*o. Let v = o - 426. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*-3 - ((-1325)\/50 - -5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8892 - 8895 = 0. Sort 1, -19, -5, j, 3.\nAnswer: -19, -5, j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + sqrt(352)\/(sqrt(32) + sqrt(8)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/47?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-15) + (-24)\/85. Let v = 820.22 + -821.22. Which is the nearest to 0.1? (a) z (b) 0.5 (c) v (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -848 - -919.8. Let w = d + -71.451. Round w to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 204 = -12. Let s be (-2)\/(-4)*j\/(-3). What is the third smallest value in 1\/2, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(561)\/sqrt(44))\/((sqrt(192)*1 - sqrt(192)) + sqrt(192)))**2 + 0.\nAnswer: 17\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39754 - -39757. What is the third smallest value in -40, t, -2, -3, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.018293*-406\nAnswer: 7.426958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -426 divided by -354\nAnswer: 71\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 1390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 178\/15 + -35\/3. Let h be (-1)\/(-5) - (-32)\/40. Is h < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7446 (base 12) to base 9\nAnswer: -18410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 646 and 655.\nAnswer: 423130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 880\/(-6)*(8 - (-63)\/(-6))*15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -123, -101, -71, -33, 13, 67?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llylulllllllz. What is prob of sequence lyl?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 2\/7*y**3 + 0 + 2\/7*y**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-11 - (35 + -3 + -20))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*b = 90 + 50 + 60. Solve 116 = -2*m + 106, b*y + 2*m + 12 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*c - 294*c + 133*c)*(c + 0*c - 2*c)*(-c + 4*c - c) as z*c**2 + p + d*c + g*c**3 and give g.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.865474 + 0.8743. Let o = 954 + -953.991. Let g = b - o. Round g to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-10))\/((-213)\/355*(-2)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5274 - 5274 - 9*y + 0*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 2. Let v(g) = g**2 + 4*g - 4. Let w be v(-4). Let o(d) = 13*d - 60. Let y be o(6). Let k(h) = 26*h + 7 - 12*h - y*h. What is w*k(m) + 14*j(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9279, 2, -3\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 p when three letters picked without replacement from {l: 1, p: 2, o: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3236 + 867. Is 67 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 9*r. Let o(w) = w. Let y(c) = -2*k(c) + 18*o(c). Let s(h) = -4*h - h + h. Calculate s(y(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 1\/2*f**2 - 11*f + 1\/4*f**4 - 9 + 1\/3*f**3. Give v(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + (23 - (16 + 22)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*v + 29 = 2*v, -8 = 2*f - 2*v. Is (2\/f + 37)*1 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-6)*750\/25. Suppose 2*r - 3*r = -x, 3*x + 4*r = 0. Suppose -2 = -x*t + 2*t, 0 = 3*u - t + 116. Which is smaller: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 2*j + 2. Let t = -1 - -10. Let u = -7 + t. Let p be q(u). Solve 2*z - 5 = -4*g - 15, 5*g - 4*z + p = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t - 13775*t**2 - 23039*t**2 + 9*t + 9983*t**2 in the form h*t + m*t**2 + b and give m.\nAnswer: -26831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c + 4886*c**2 + 4*c - 4880*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 801452 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.0512\nAnswer: 0.2048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -77 (b) 2 (c) 55\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3 - 3)*(-35*v**2 - 888*v**2 + 196*v**2)*(0 + 0 - 2).\nAnswer: -1454*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.43132 take away -1?\nAnswer: -37.43132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by 2.\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 748016, 1496015, 2244014?\n\"Answer: 747999*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 182639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2023455*b + 14082026?\nAnswer: 2023455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 4*c - 44. What is the third derivative of -c*t**2 - 17*t**2 - 38*t**2 + 5*t**6 wrt t?\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 14*h - 597 - 8*h.\nAnswer: 4*h - 597","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*n - 204*n - 26*n)*(-2*n**3 - 2*n**3 + 2*n**3 - n**3 - n**2 + n**2 + (-4*n + 4*n - 2*n**2)*(-4*n - 1 + 1)).\nAnswer: -845*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46116001 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119384 is divided by 58900?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 + 36. Let x(i) = -i**2. Determine y(x(n)).\nAnswer: -3*n**4 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*a**2 - a**3 + 166*a**2 + 83*a**2)*(17 - 17 - 20*a).\nAnswer: 20*a**4 - 3620*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97 + 295\/3. Which is the nearest to 0? (a) -2\/7 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5619 = -160*g + 2381. Suppose 5*h - 37 - 78 = -5*f, -2*f + 40 = 5*h. What is the least common multiple of g and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 69101880*n**2 - 276407472*n + 276407456.\nAnswer: -4*(n - 17275466)*(n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and 33?\nAnswer: 4.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 12:04 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-128 + 150 - 124 - 1 + 4 - 5 + (1 - 3 + 1)*(-1 + 0 + 2))*(3 - 4 + 0)*(4*m + 4*m + 8*m).\nAnswer: 1680*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -9*a**2 + 5*a - 5. Let d(k) = -4*k**2 + 2*k - 2. Let r be 8\/52 + 362\/13. Suppose -18*p = 44 + r. Give p*o(q) + 10*d(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 79257 = 79217 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4277 from -14.\nAnswer: 4263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 2\/13, -3, 2\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r - 10 + 20 - 2. Let g(w) = 6*w + 7. Determine 6*g(y) - 5*k(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*h + 260, -h - 5*t + 82 = -0*t. Let z = -63 + h. Which is smaller: z or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-24)*-7*(-24)\/(-112)*-86\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 15*j + 23. Give u(6).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1. Let z(k) = -2*k**2. Let n(f) = f**2. Let m(u) = q*z(u) + n(u). Let g(l) be the second derivative of -l**4\/3 + 9*l. Give m(g(w)).\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 2)*(-5)\/10. Let t = 0 - -6. Solve f = -3*a + t*a - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5438 is divided by 303.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 18*d - 4. Let j be x(3). Let a = j + -152\/3. Let m(q) = -q**3 - 4*q**2 - 4*q - 3. Let o be m(-3). Which is bigger: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-3) - (-20 + 0). Suppose 82 = 2*q - 43*q. Which is bigger: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30720 and 3214720.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/15 - 8*k**2\/15 - 2*k\/5.\nAnswer: -2*k*(k + 1)*(k + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11877 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 times 71499\nAnswer: 1143984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 12:20 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06002758 to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-19089)\/(-3570))\/(-303)*(195\/(-36))\/(-13)\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219292604 divided by 86.\nAnswer: 2549914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154, 409, 664, 919?\nAnswer: 1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7722682?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) + 6\/(-12). Let k be 761998\/3 - r\/(6\/4). What is k rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*f + 38 = 0, 7*l - 4*f = 4*l + 38. Let d(c) = -c**3 + 7*c**2 + 21*c - 9. Let a be d(8). Let v = l + a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50659 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 - (4 - 1) - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -498641.68 to the nearest 10000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97433 divided by -1.\nAnswer: 97433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 3, m: 1, y: 3, i: 1, o: 2}. Give prob of sequence to.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**26*v*v\/(v**(-5)*v) assuming v is positive.\nAnswer: v**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 862667 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/19))**(-1\/71)\/(a**(4\/7))**49 assuming a is positive.\nAnswer: a**(-37773\/1349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016833869 to 6 dps.\nAnswer: 0.000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + 47 + 19 + (-3 + -105 - 4)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u*u**(-1)*u*u**(4\/3)*(u*u**1\/u*u*u)**(2\/57) assuming u is positive.\nAnswer: u**(253\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1344213*q + 33*q**2 - 1344213*q + 2.\nAnswer: 33*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 22*n**2. Let b(m) = -3*m - 11*m + 17*m. Calculate y(b(a)).\nAnswer: 198*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177*x + 368*x - 174*x - 9*x**2 to t*x**2 + d + j*x and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 2\/33 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 l when three letters picked without replacement from ddzzlzzzzzzzzz.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(2*-1 + 0). Let o(m) = m**2 - m - 1. Let c be (-20)\/16 - (-2)\/8. Let v(w) = 2*w**2 - 4*w. Let g(l) = c*v(l) + o(l). Give g(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*n + 21*n + 6. Let l = -39 - -46. Solve -l = 4*f - n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8853229t in milligrams?\nAnswer: 885322900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 3*s - 3. Let x be (20\/(-15))\/(s\/3). Suppose -3*w + 6*w = 24. Solve -4*o - w = x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3839.378 - -0.08\nAnswer: 3839.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 0*q**5 + 0*q**5 + (-q + 3*q + 0*q)*(2*q**4 + 2*q**4 - 2*q**4) + q**5 - 2 + 2 - 56*q**4 + 56*q**4 - 106*q**5.\nAnswer: -103*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (0 + 0)) + -13. Suppose 111*w - 51 = -18*w + 336. What is the third smallest value in j, w, 4, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 37*t**6\/30 + t**5\/5 + 37*t**4\/4 - 3*t**2\/2 - 487*t. Find the third derivative of d(r) wrt r.\nAnswer: 888*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -n + 2*j - 1, n + 6 = 4*j. Let f be (4\/22)\/((-1)\/n). What is the fourth smallest value in -5, f, 2\/7, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50\/63 + -4\/7. Suppose 0 = -3*k - k + 12. Factor -4\/3*w**2 + 8\/9*w - 2\/9*w**4 + 8\/9*w**k - i.\nAnswer: -2*(w - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 9*r**2 + r + 8. Let t(g) = -4*g**2 - g - 4. Let n(v) = 7*t(v) + 3*u(v). Determine n(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131\/46 - -54\/23. Let n = -1.975 + -0.025. What is the closest to 1 in n, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10883.026837 + -10883. Round y to three dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460235?\nAnswer: 5, 83, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - -19. Calculate the remainder when a is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - t - 6 = -x, 5*x - t - 8 = 0. Let c be (21\/18)\/7 - x\/2. Is -2\/5 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8002, -10314, -14168, -19564?\nAnswer: -26502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -3\/8, -0.4, 64, -6 in descending order.\nAnswer: 64, 3\/5, -3\/8, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68733026113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 4*x + x - x + 5*x + 0*x + (1 - 2 + 2)*(-5 + 2*x + 5) - 2*x + 4*x - 3*x)*(-3 + 6 - 1)*(3*x**4 - x**4 - x**4).\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from qgstt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5 + 14. Suppose z - j = -1. Suppose -3*t + 606 = 5*c - 2*c, 0 = -5*c - z*t + 1001. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -424 > -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2334575 to the nearest integer?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 32 = 2*o, -2*z = -3*o - 3*z + 22. Let i be 145\/(-2) - 3\/o. Is -0.2 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77c8 (base 15) in base 12?\nAnswer: -12838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110558046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111100100 (base 2) in base 13?\nAnswer: bc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, r: 15}. What is prob of picking 3 r?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10435 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k + 10*k + 62*k + 27*k to p + o*k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1046.\nAnswer: -1\/1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -175*x**2 - 550. Let v(l) = l**2 + 2. Give -1100*v(g) - 4*w(g).\nAnswer: -400*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34452 by 12.\nAnswer: 2871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 3:19 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -102, -4, -8, -8\/13 in decreasing order.\nAnswer: 4, -8\/13, -4, -8, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*y + j + j, 2*y = 4*j + 70. Let v(x) = -x**3 + 25*x**2 + 3*x - 12. What is the smallest common multiple of v(y) and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107 + 212 - 104 - 50*w as f*w + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3564*r + 110192 = -114340 for r.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 19\/23, -2\/9, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n - 34. Let h(u) = -8*u + 69. Let l(b) = 3*h(b) + 7*z(b). Let w be l(9). Suppose 0 = -w*f - x + 23, f - x = 3*f - 8. Is 29\/5 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -3, -2, 124, 616 in ascending order.\nAnswer: -5, -3, -2, -1, 124, 616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0023 + -0.002531. Round g to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dulsduv. What is prob of sequence ldd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5362110 divided by 357474.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 196217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 4026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -0.2. Let r = 67 - 66.9. What is the nearest to 5 in d, r, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(117))**2 + 1.\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide ((864\/(-28))\/(-3))\/((-1)\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -96896, -96901, -96908, -96917, -96928, -96941?\n\"Answer: -z**2 - 2*z - 96893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/5616 and 115\/468?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 5, 6, 307.3?\nAnswer: 307.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 5*q - 12 - 6, 5*m + 5*q + 10 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89309\/32 >= 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/4? (a) 4 (b) 2 (c) -1\/3 (d) -0.08 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -6 - (68 + -70)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7085 and 1040.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m + 68*m + 14*m + 5020 + 5013 - 10033.\nAnswer: 102*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209)*-1 + sqrt(209)))*3 - sqrt(209)*2*-6)\/(-5*1*sqrt(275)).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mammdaad. What is prob of sequence adda?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((36\/6)\/(-3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)*v**(-2))\/((v*v\/((((v\/(v\/(v**(3\/4)*v)))\/v*v)\/v)\/v)*v)\/(v\/v**(-4\/5))) assuming v is positive.\nAnswer: v**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 + 2 = b, -2*b - 13 = 5*f. Let x(i) = 4*i**2 - 4*i + 5. Let v(p) = p**2 - p + 1. What is f*x(k) + 3*v(k)?\nAnswer: -k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529342970.\nAnswer: 2, 5, 13, 4071869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19\/4 of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/180*(-61440)\/(-64512).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 27.3939133389 + 1.077?\nAnswer: 28.4709133389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 2469*q**5\/20 - 2*q**3\/3 - 4*q. Let i be b(4). Round i to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5 + 5. Let v be -1 - 1*(-4)\/t. Let j = -1044 + 1048. Solve j*b = -f + 23, 5*b - 4*f = v + 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548.7457 litres in millilitres?\nAnswer: 548745.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 + -119. What is the nearest to 2\/3 in 0.13, x, -3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3478)\/846 - (-1 - (-3)\/(-3)) - -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*m**5 + 27*m**4 - 16*m**5 + 20*m + 28*m**5 + 2*m wrt m?\nAnswer: 20*m**3 + 324*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (-4 + sqrt(99) - sqrt(99))*-4 + 1 + -4*sqrt(99)*2 + sqrt(99))*-5)**2*-6.\nAnswer: -776250 + 113400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/11 > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - -1.3. Suppose 0 = -44*k + 43*k + 4. Let o be k\/45 - 3\/(108\/8). Sort z, -2\/23, -1\/2, o in decreasing order.\nAnswer: z, -2\/23, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -557 + 44?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**2 - 100*t + 66073. What is i(-166)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 8*u - 2. Let y be v(-6). Let w(j) = 3*j - 1. What is the units digit of w(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(288) + -2 + -2 + sqrt(288).\nAnswer: -4 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.245 + 0.145. Let m = n - -7. Which is the second smallest value? (a) 1 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 13.0000011. Round n to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1373526 divided by -126.\nAnswer: -10901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 33. Find the common denominator of -69\/22 and (-7)\/v*213\/24.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h - 9597898 = -9600934 for h.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Let b be 7 + -4 - (-2 - -2). Let t(z) = z**2 - 5*z + 3. Let y be t(5). Solve -b*p = -r - y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 269 (c) -33 (d) -2 (e) 2\/7 (f) 0.5 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2120 = 3*o, -2002 = -4*o + 4*n + 814. Suppose 2*h + o = 8*h. List the prime factors of h.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 + i**2 - i - 1. What are the prime factors of r(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/400 and 103\/160?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2 + w + 2. Let o be d(-1). Suppose -o*b = 11*b + 255. Is -19 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*i**3*l**2*s**3 - 441*i**3*l*s**3 + 2*i**2*l**2*s + 3*i*l**2*s**3 + 32*i*l*s**3 - 4*l**2*s**3 wrt i?\nAnswer: 84*l**2*s**3 - 2646*l*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(3120\/(-20))*(6 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, w: 2, r: 3, b: 2}. Give prob of sequence wz.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10003*x**2. Let g(n) = -2*n**2. Give g(d(m)).\nAnswer: -200120018*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 3*r**3 - r**3 + (138*r**2 - 49*r**2 + 58*r**2)*(-4*r + 6*r + 7*r)*(0 + 3 - 4).\nAnswer: -1322*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + i. Let t be p(-2). Suppose -t*l = -4 - 4. Suppose r - l = -r. What is the smallest common multiple of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x - 3*x + 4*x)*(-421*x + 186*x - 3031*x) to h*x**2 + k*x + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 + 0.15. Let y = k - -0.57. Which is the biggest value? (a) -2\/13 (b) y (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2479040*t**5 + 2483648*t**2?\nAnswer: 148742400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -10*z. Let m(d) = d. Let x(t) = 5*m(t) + p(t). Let v(l) = l + 5. Let q(o) = -3. Let j(h) = 5*q(h) + 3*v(h). Calculate x(j(w)).\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*m + 12 + 173*m - 20 + 8 - 336*m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -430474 + -2?\nAnswer: -430476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*-1 + (-58)\/(-29). Suppose 23 = -y + 6*y - 4*r, m = -2*y - 3*r. Find b, given that 0 + 3*b**5 + 2*b**4 + 8\/3*b**2 + 0*b - 20\/3*b**y = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/5))\/q)**34*q\/(q**(-10)*q)*q*(q*(q*q\/(q\/(q**(4\/3)*q)))\/q*q*q*q)\/q assuming q is positive.\nAnswer: q**(449\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 5*k**5\/38 + 3095*k**4\/114 - 1247*k**3\/19 + 1125*k**2\/19 + 798*k. Find q, given that g(q) = 0.\nAnswer: -125, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-44)\/(-33))\/((-4)\/(-6)). Find the third derivative of 0*q**f - 8*q**2 + 8*q**5 + 0*q**5 wrt q.\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4876811 is divided by 2438383.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/(-14))\/(3\/210) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12777 + -5715?\nAnswer: -18603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 6*c + 6. Suppose -3*j + t = -7, -t = j + 2*j - 11. Let y be w(j). Is 8\/(-28) + (-762)\/y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4714*m + 26*m**2 + 21*m**2 + 21*m**2 + 28*m**2 - 93*m**2.\nAnswer: 3*m**2 + 4714*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2017.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 90, 87, 84, 81, 78, 75?\n\"Answer: -3*a + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 - 54*o**2\/5 - 48*o\/5 + 864\/5.\nAnswer: 3*(o - 18)*(o - 4)*(o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvuvvuvvvuuuuu. What is prob of sequence uvu?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = 4*s - 60 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1038, 2237, 3426, 4599, 5750?\n\"Answer: -n**3 + n**2 + 1203*n - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4117 (base 11) to base 5.\nAnswer: -133323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, d: 3}. Give prob of sequence vvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*t + 5*t + 4*x, 0 = t + 5*x - 5. Suppose -12*s - t = -13*s. Suppose 11*b - 4*b - s*b = 0. Solve b = -h - 9 + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*2 - sqrt(48)) + 5.\nAnswer: 5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4407.63 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/3))\/y)**31*(y\/y**(-2))**(-1) assuming y is positive.\nAnswer: y**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 7*q**2 - 4*q - 48. What is the remainder when c(-10) is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 18954832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 7*c - 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 17615 and -2880.\nAnswer: 14735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 505, 970, 1435, 1900?\n\"Answer: 465*n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*r - 139*r - 1944 = -273*r. Is r != 194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591531?\nAnswer: 3, 269, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 156.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*o*v + 2*f*o*y - 14316*f*v**2*y + 27*f*y - 3*f + 96*o*v + 6*o*y - 34*o - 3 wrt v.\nAnswer: f*o - 28632*f*v*y + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**7*u*u)\/u)\/u)**(-2\/33)\/((u*u**6*u)\/(u\/(u\/(u*u\/(u*u*u**18\/u*u*u))))))**(-42) assuming u is positive.\nAnswer: u**(12670\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4670569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**6\/40 - o**4\/8 + 2*o**2 - 3. Let r(d) be the second derivative of m(d). Find the second derivative of r(z) wrt z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1329 + 2729\/2. Let f = -634\/19 + 16631\/532. Calculate the common denominator of b and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 12 = 3*v - 48, 3*w - 4*v - 15 = 0. Let d = w + -6. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 569221 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1758 is divided by 1649.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2862, -10061, -21618, -37533?\nAnswer: -57806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114)*1)*-3 - sqrt(114))\/(sqrt(96)\/sqrt(4)).\nAnswer: -7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028998123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9529939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000004412 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7886*c**3 - c**2 - 571 wrt c.\nAnswer: 47316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 2, g: 1, q: 2, x: 2, e: 1}. What is prob of sequence ezq?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = -315 + 303 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795487*h + 795545*h + 1624 = 0 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 5*k**2 + 7 - 8 to u*k + p + q*k**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**2 - 11*o - 21. Let j = 22 - 17. Let l be (j - 1) + (-135)\/9. Let b(s) = -s**2 - 2*s - 4. Determine l*b(d) + 2*u(d).\nAnswer: d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 - 2*p - 6. Let s(w) = 4*w**2 - 2*w - 5. Calculate -2*b(k) + 3*s(k).\nAnswer: 2*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4080 and 120?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, v: 3}. What is prob of sequence vn?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 450 = 96. Calculate the least common multiple of 7 and c.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 - 2*c**2 + c + 2. Let x be j(2). Suppose 5*v - 93 = 17. Let r = v - x. Solve 2*d - r*f - 10 = 0, 0*d = -d + 4*f + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10100001011001000000?\nAnswer: -10100001011000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105.98046 - -0.09046. Let v = g + 105.838961. Let b = v + 0.051. Round b to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - 64\/(-12) - (-2)\/(-6). Let r = 0.017 + -11.217. Let u = r - -11. What is the closest to l in 1\/2, 3, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 567 and -2.5.\nAnswer: -1417.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41653, -42415, -43177?\nAnswer: -43939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 319147164 a multiple of 1402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 - 43. Suppose 0 = -2*y - u + a, -3*y + 3*u = -0*y - 54. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(-5 + ((-1*sqrt(130) + sqrt(130))*-2)\/((sqrt(60)\/sqrt(3))\/sqrt(2))*5).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3781\/3 and -1261 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2 - (-120)\/(-45))\/((-26)\/9). What is the nearest to x in 2\/5, 4, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25884 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10797997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 11:16 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/14 + 7117965\/369936 - (19 - -1).\nAnswer: -11\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) -0.044 (b) -2\/5 (c) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllmmlxxlx. Give prob of picking 2 x and 2 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*g = 452, -7*k + 2*g = -2*k + 764. Let q = -146 - k. Solve -2 = i - 2*t, 0 = -i - 3*t + t + q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 2865336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1011011110010111?\nAnswer: -1011011110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 952 a factor of 1106224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 4) + -2 - (132 - 124)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 742647*s**2 - 75882 wrt s.\nAnswer: 1485294*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93025756 divided by -4?\nAnswer: -23256439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1463571 - 2454432 = -3*f, -2*c = 4*f - 3918004. What is c rounded to the nearest ten thousand?\nAnswer: 1960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -10*d**2 - 14. Let z(s) = -2*s**2 - 3. Let q(f) = -3*y(f) + 14*z(f). Let b(i) = -i**2. Determine 5*b(t) + 5*q(t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -61, 0.05, -1 in ascending order.\nAnswer: -61, -4, -1, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/(-14)*-22)\/1. Solve -30 = 5*g - z*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*t + 1626*t**2 + 287*t.\nAnswer: 1626*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = -67*b - 224 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.650671l in millilitres?\nAnswer: 7650.671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484738 is divided by 242349?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**4 - 4*k**2 - 4*k - 5. Let q(y) = -4*y**4 + 3*y**2 + 3*y + 5. Let m(l) = -3*j(l) - 4*q(l). Find the first derivative of m(r) wrt r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282989126?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 101928 and 140151?\nAnswer: 1121208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50638 is divided by 1099?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 3368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*-4*(-2)\/20. Let j(r) = -35*r**3 + 2*r**2 - r - 2. What is the remainder when j(-1) is divided by -3 + 1 - (-30)\/q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -686 - -687. What is the closest to -8 in -1, z, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -9. Let v = -20 - r. Suppose v = u - 1, 5*p + 2*u = 1159 + 1428. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7168*l + 94*l**2 - 40*l**2 - 7260*l as i + w*l**2 + s*l and give w.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1756 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21591 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 36321221 * -0.1\nAnswer: -3632122.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*g - 8. Let y = -18 - g. List the prime factors of (-4064)\/(-120) + y\/15.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 48 + 12 = 0. Solve 2*l = 5*l - m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(80)*2 - (sqrt(5) + (sqrt(180)\/sqrt(4) + sqrt(45))\/sqrt(9) + -1*sqrt(320)))**2.\nAnswer: 6845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74186181 by -1371.\nAnswer: 54111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1123*o - 4*o**3 + 3 + 552*o + 0 + 9*o**4 + 572*o - o**2 to the form l + w*o + h*o**2 + q*o**3 + t*o**4 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 7913.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**4 + 70*n**3 - 360*n**2 + 800*n - 640 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 64*a**2 - 49*a - 1494. What is n(63)?\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 1 - 9\/2*k**2 + 4*k + 8\/3*k**3. Let o be i(4). Calculate the highest common factor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 17558.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 11*p**2 - 69*p + 564. Let r be o(13). What is the third smallest value in r, 2\/45, -2\/11, 12?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4418, 520, 2 in descending order.\nAnswer: 4418, 520, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -201*u**2 - 2*u - 1. What is w(-1)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2913104 - -2913133.299952. Let z = b - 29.3. What is z rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 17*m**7\/420 + 7*m**4\/4 - 35*m**3\/3 - 37. Let v(c) be the third derivative of n(c). Differentiate v(l) with respect to l.\nAnswer: 102*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-199.\nAnswer: 79.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -148, -328, -580, -904, -1300, -1768?\nAnswer: -2308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-182)\/65 - (-1311)\/345.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*h - 6. Let m(f) = f + 12. Let b be m(h). Suppose -b*w + 108 = -168. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*j**3 - 530*j**3 - 2*j**2 - 42*j**3.\nAnswer: -836*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 6*v**2 - 35*v + 352. What is u(5)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/5)\/t*t**(-3)*t*t*(t\/(t\/t**(-6))*t)\/(t**(-2)*t))\/(t**(2\/7)\/t**5*(t**(2\/3)*t)**(-10\/9)) assuming t is positive.\nAnswer: t**(1858\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (20\/8)\/((-12)\/(-16))*3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155402 and 688?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + h = -3*j, -2*h - 3 = 5*j. Let q be 5*(21\/5 + j). Suppose 4*m - 20 = -4. What is the highest common factor of m and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from {k: 17, r: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48390 by 4839.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2 + 1324*p - 438244\/3 = 0. What is p?\nAnswer: 662\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j + 18. Let f(k) = k**2 + 10*k - 5. Let y(b) = -b**2 - 11*b + 6. Let q(r) = j*f(r) - 5*y(r). Let s be q(-5). Are 1 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003690468 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2835388 divided by -58?\nAnswer: 48886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54829 - 23738. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 581655, 581668, 581669, 581658?\nAnswer: 581635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9261, 9267, 9273?\n\"Answer: 6*g + 9255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvdvhurppr. What is prob of sequence vr?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-222) + 12\/2664*974 + -1. Find p, given that 2\/3*p**3 - 4*p**2 + 0 + d*p = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, -7, -4, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2753*z + 46269. What is i(17)?\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3624*d + 1147*d + 439560 = 493*d for d.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 502495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. Let t = -10 + 8. Let o = t + v. What is the smallest common multiple of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 808918 and 332.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, u: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -48*p**3 + 2*p**2 + p - 1. Let l be q(-1). Suppose -8*u + 4*u + 4*d = -l, 2*u - 38 = -5*d. What is the remainder when 38 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 2. Let d be i(-5). Suppose -2*c - 3*c + 130 = 4*y, -4*y = d*c - 78. What is the remainder when 40\/(-12)*(4 - (-268)\/(-10)) is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/2 - 6. Suppose 17 - 2 = 5*k. Suppose q - k = 2. Which is the second biggest value? (a) 0.1 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from xxxlltlxxlxxltxt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 30*t**2 - 34*t**2 - 4.\nAnswer: -64*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -374*r - 658. Let j be c(-2). Solve j*d - 57 = 213 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y + 14824 - 4492 = 0. Let s = -542 - y. Find the common denominator of ((-6)\/(-4))\/(14\/(-76)) and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 4) + (12 - (6 + 0)) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, 4\/3, -0.1, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 0.5 (b) -2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35147896 to the power of 1\/2, to the nearest integer?\nAnswer: 5929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0175 + 267.9825. Let g = c + -266.71. What is g rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/3472 and 65\/496?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Let d be (1 + -2)*0\/q. What is z in 2\/7*z**2 + d*z**3 - 2\/7*z**4 + 0 + 0*z = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.2 + -4. Let z = -59 - -55. What is the closest to -1\/4 in z, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -107, -440, -995, -1772, -2771, -3992?\n\"Answer: -111*f**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 4 + y**2 + 1 - 3*y - 3. Suppose 5*h - 10 = -5*z, z + 3*z - 2 = -h. Is q(h) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7703.04 - 7703. What is the smallest value in i, -6, 0, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j**2 - 7*j. Let f(o) = -3*o**3 - 2*o. Let k be f(-2). Suppose 0 = 3*d, 4*p - d = 3*d + k. Let i(c) = -3*c**2 - 2*c. What is p*i(s) - 2*q(s)?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = -12. Let g(k) = -k**3 - 13*k**2 - 14*k - 17. Let i be g(u). Solve 4*j - r = 7, 2*r - i = -j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 26 - 173 = 71. Which is the closest to 0? (a) -0.7 (b) 0.2 (c) n (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -3cd?\nAnswer: -3cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(75)*2 + sqrt(3))*-2 + 1*(sqrt(192) + 3)*-1)**2.\nAnswer: 780*sqrt(3) + 2869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*a - 70, u = 5*a - a + 57. Let s = 71 - u. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -3\/5, 0.1, -176.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.4, 21, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 67383338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(272))**2*2.\nAnswer: -128*sqrt(17) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 6*r + 9*r + 0*r - 136.\nAnswer: 3*r - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000898324 to 7 decimal places.\nAnswer: 0.0000898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**4\/12 + 2*y**3\/3 - 4*y**2 + 4*y. Let f be u(-6). Suppose -f*j + 7*j = 0. Which is smaller: -3\/11 or j?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015185014 rounded to 4 dps?\nAnswer: -0.0152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swv when three letters picked without replacement from twvasma?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 20*i - 14. What are the prime factors of v(13)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -981413 + 693413. Round r to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - ((-2)\/(-12) - 3610\/60). Differentiate x*w - 60*w - 10*w**2 - 29 - 3*w**2 with respect to w.\nAnswer: -26*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 25 = 3*f, -1907*f - 26 = -3*m - 1909*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*o + 118*o = -3578 - 4162 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-4455))\/(10\/110)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-27 - -4) + 5)*(-4)\/(-6). Let c be b\/12*3\/(-1). Factor 2\/5*n + 0*n**c + 0 + 4\/5*n**4 - 4\/5*n**2 - 2\/5*n**5.\nAnswer: -2*n*(n - 1)**3*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30, -9, 50, 165, 354?\n\"Answer: 3*w**3 + w**2 - 3*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 40*t - 40. Let x be l(-41). Let b be -1 + 1 + 0\/1. Suppose b - x = -z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3. Let w be -2 + (2\/(-3) - 13\/(-6)). Which is the closest to 0? (a) -0.6 (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**5 + 661*f**4 + f + 36 wrt f?\nAnswer: -40*f**3 + 7932*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, 8\/5631 in increasing order.\nAnswer: 8\/5631, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5152374 divided by -2\nAnswer: 2576187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*t**2*z**3 - t**2*z**2 - 25*t*z**3 + 730*z**3 - 2*z wrt t.\nAnswer: 62*t*z**3 - 2*t*z**2 - 25*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*s - 0. Solve 2*g + 5 = -2*y + 1, -5*g - s = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/6*21\/(-35). Let b = -6.76 - -7.06. Put b, -10, n, 5 in ascending order.\nAnswer: -10, b, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((5 - 0) + -8)\/(-1). Suppose -3*p = -2*p - 6. Calculate the smallest common multiple of p and (-116)\/(-6) - 10\/(-45)*d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) -924 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 5*i**2 + 10*i + 19. Suppose 112 = -8*u + 40. Let l be k(u). What is the greatest common divisor of l and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2 - 10*u**2 - 2*u - 9*u + 8 + u**3 + 0*u**3. Let z be v(11). Suppose z*x - 217 = 5*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -401, -1592, -3567, -6320, -9845, -14136, -19187, -24992?\nAnswer: -31545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/(b\/((b\/b**7*b)\/b)*b))**(8\/7) assuming b is positive.\nAnswer: b**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98303213?\nAnswer: 98303213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(4 + 0 + 1)*(21*n + 17*n + 9*n).\nAnswer: 470*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v + 580000. Let q be h(0). Round q to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 1, z: 2, w: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4139, -4136, -4133, -4130?\n\"Answer: 3*k - 4142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 6:34 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3\/4 - 147*n**2\/2 - 2848*n + 19680 = 0.\nAnswer: -40, 6, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 284238204 to the nearest integer?\nAnswer: 16859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41819 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12001804 and 6276.\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 9819.6118 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.000065 - 11. Round x to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b**2 + 18 + 17*b**2 - b**3 + 0*b**3 - 3*b - 10*b**2 - 2*b**2. Let d be n(-5). Solve -4*x + 4 = d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*q - 403*q = 397*q - 87*q - 42282 for q.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 2, 2, 4, 8?\n\"Answer: g**2 - 5*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 122, 157, 222, 335, 514, 777, 1142?\n\"Answer: 3*d**3 - 3*d**2 + 23*d + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2258 = -12*g - 51*g + 6184. Calculate the remainder when 2944 is divided by g.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 562*d - 534*d - 532 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = o + 4*b, -o - 2*o + 3*b + 66 = 0. Let t = o - 21. Let z(v) = v**2 - 7*v + 1. Give z(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 6 - 35)*(-47 - 2*c**2 + 47 - c).\nAnswer: 76*c**2 + 38*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 0*s**4 + 1\/10*s**6 + s + 1\/2*s**5 + 14 + 0*s**2 - 44\/3*s**3. Find the second derivative of p(y) wrt y.\nAnswer: 36*y**2 + 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:35 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 88\nAnswer: -5\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -8*x + 3*x. Let h be 159\/21 + 6 + 4. Let n = h + -197\/14. What is the smallest value in x, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3192 = -0*i. Is 31 a factor of (3\/(-9))\/((-2)\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/12)\/c)\/(c*c**2)*c*c**(-7)*(c**6\/c)\/c*c*c**0*c**(-5)*(c*c\/((((c\/c**(2\/3)*c)\/c)\/c*c)\/c)*c)\/(c\/(c*c**(-1\/5)*c)) assuming c is positive.\nAnswer: c**(-109\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/4 + 4\/(-16). Suppose -4*g + 2*g = 3*y, -5 = -l*y - g. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 6) to base 11.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 - 58. Let g be -2 + -2 + (l\/2)\/7. Which is smaller: 3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*v + 1127 = 0. Calculate the remainder when v is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124818.2 + -124818.28199878. Let g = k - -0.082. Round g to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 - -32.\nAnswer: 32.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 164.4, 8.6 in increasing order.\nAnswer: 1\/9, 8.6, 164.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/9)\/((-6)\/(-45)). Suppose -y*c = -5*h - 215, 227 = c + 4*c + h. Let d = -6 + c. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 149*j**2 - 5957*j + 36. Give h(40).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, p: 4, o: 3, k: 9}. Give prob of sequence oovp.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 3, k: 7}. Give prob of sequence ajj.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 2)*(1 + 1 + 1)*(-14*u**2 - 32*u**3 + 14*u**2) - 2*u + 2*u**3 + 2*u.\nAnswer: 98*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 7.8. Let p = 7.1 - v. Let q = 5 - 4.6. Which is the nearest to p? (a) 2\/15 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -429.761571 to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 186 = -11*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3, -5*i = -0*y + 5*y - 30. Suppose 3*p - 7*n + 1 = -2*n, 4*n = 5*p - i. Let s be -1*2 - (-32)\/5. Is p at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a. Let u(r) be the first derivative of 0*r + 0*r**2 - 2\/3*r**3 + 12. Give u(n(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20196 = -285*t - 293*t - 544*t for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -633 + 614 + (-1 - 0) + -3 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*h + 6*h - 6331 - 2741 = 0. Which is greater: h or 161?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/132 - ((-130)\/22 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 19*z**2 + 75*z - 136. Give p(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 14. Calculate the greatest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 7:22 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - a + 59 = 0, 2640*b - 2644*b + 2*a - 52 = 0 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61682566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzbgugwwwww. Give prob of picking 2 w and 1 b.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4269 - -4383. What is the greatest common factor of 11514 and n?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821*f - 1633*f + f**2 + f**2 - 837*f + 6*f**3 + 2466*f.\nAnswer: 6*f**3 + 2*f**2 - 825*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p - 8*p - 12 + 20 - 2*p**3 + 2*p**2 - 3*p**2 to the form y + r*p**3 + s*p + o*p**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/120684 and 127\/3204?\nAnswer: 362052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 521919.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -3729903169.1.\nAnswer: -3729903172.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53637 by -941.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - 6. Suppose 0 = -w + 5*i + 5, 4*i + 4 = w - d*w. Put -2, 3, w in increasing order.\nAnswer: -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/9 + (-4256)\/(-36) + 3. Let a = m + -1. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 2*p - 12. Let r be s(-5). Let g(d) = -d**r + d**2 + 10*d + 4 - 17 - 11*d. Determine g(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26090 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*g + 4. Let m = 13 - g. Solve 3*w - m*w = -6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 3*w - 5*w**2 + 5*w**2 - 3*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 33b?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 135\/8. Which is the smallest value? (a) -2 (b) g (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:34 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 45 (b) -0.4 (c) 15709 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (18 + (-9 - 0) - (2 + 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3784114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2304 - 2292.99. Let x = 11 - y. Put -5, -3, x in ascending order.\nAnswer: -5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 572 and 728?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 2:45 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.12 - 0.12. What is the closest to 0 in a, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -33289*q**3 - 10*q**2 + 37*q - 370. Let d be t(10). Round d to the nearest 100000.\nAnswer: -33300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121\/266 - -6\/133. Which is the nearest to y? (a) -3 (b) 1\/4 (c) -1\/6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -249, 2, 3, 4, -11, -3 in descending order.\nAnswer: 4, 3, 2, -3, -11, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -23*l**2 - 36*l**2 + 28*l**2. Let j(d) = -2*d. Give j(v(c)).\nAnswer: 62*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5335 + 2?\nAnswer: -5333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55*i**3*l + 42*i**3 - 17*i**2 + 17*l**3 wrt l?\nAnswer: 55*i**3 + 51*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 66\/191, 17, 8.3 in increasing order.\nAnswer: 66\/191, 8.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73787 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 15 + 35. Let q be (-98)\/(-5) + 1\/(25\/l). Let h be 0\/2 - (2 + -2). Solve 3*j + 6 = 0, h = -4*v - v + 5*j + q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 7:33 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86136578 is divided by 747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6496\/33, -1\/22, -4?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w - 85 = 0. Suppose 4*q - w - 15 = 0. What is the lowest common multiple of 22 and q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 12, 0 = 3*a - 0*a + 5*v - 51. Suppose -p + 2*b + 4 + 10 = 0, -5*p + a = 2*b. Solve 2*y - 3*q + p - 17 = 0, y - q - 5 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 3888*t**2 + 36 - 3887*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 19*n - 2. Let s be 1344\/70 - 1\/5. Let r be d(s). Which is greater: r or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 51*c + 7 + 13*c - 13. Let i be n(1). Suppose 66 = 61*u - i*u. Calculate the remainder when 108 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Suppose r = 3*g - g. Is 16 + 1 + g + 2 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*b = -237*b + 485. List the prime factors of b.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -z + 18. Suppose 0 = 4*m - 2*k + 32, z*m = 6*m - k + 26. Let n = m + 19. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-57))\/(18\/1278) - -10?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 7*c + 3*u - 11 = 0, -5*c - 10 = -5*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19944204.\nAnswer: 2, 3, 7, 41, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 26*j**3 + 2*j**2 + j + 2. List the prime factors of l(2).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10367 is divided by 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + (8 - 10) + 1 - 7) + -2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 + -3f0d3?\nAnswer: -3f0c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1759.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 - 26 - 28 - 6*l**2 - 17*l**2 - l + 3*l**2 to the form g*l + v + t*l**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 47.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147*d**2 + 140*d**2 + 1 - 265*d**2 to j*d + q + p*d**2 and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -577 + 261*q + 1321 - 628 - 6*q**2 + 8*q**2 with respect to q.\nAnswer: 4*q + 261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-3))\/f)**(-7\/5))**(1\/57) assuming f is positive.\nAnswer: f**(-7\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 58*s**2 - 1049*s + 37. What is i(18)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3*u + 104. Suppose 0 = 2*p + 4*i - 62, 5*p = -i + 70 + 58. Let f = u + p. What is the highest common factor of 60 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -73, -114, -141, -148, -129?\n\"Answer: v**3 + v**2 - 51*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f + 12?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) 0.0187 (c) 81 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/58031890 and 71\/58031890?\nAnswer: 58031890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = c - 15, -2*t = -1028*c + 1023*c + 23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - y. Suppose -2 = -4*f + 2*k - y, 3*k = -3*f + 6. Suppose 13*g = 17*g. Is g less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36285\/8 greater than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 23 + 143 = 1. What is the smallest common multiple of 153 and b?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 9666873*p**2 - p - 3. Let f be k(-1). Let a = -8833747 - f. Round a to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11320344322 (base 5) in base 6?\nAnswer: -1143523521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-135)\/54)\/((-5)\/6). Solve -20 = h*m - 23 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5*sqrt(136)*1 - (-1*sqrt(136)*-5 - sqrt(136))))\/((sqrt(128) - 2*sqrt(128) - sqrt(128))*-2*-1).\nAnswer: -3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 121643711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 360016322 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v + 1. Let z = 7 - 8. Let l be q(z). Let n be (-2 + l)\/(2\/2). Solve 0 = -n*r + 5 - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*p**3)*(2*p**2 - 3*p**2 + 5*p**2).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -1801940*i**2 + 2*i**4 - 17*i**4 + 1801896*i**2 + 2*i**5 - i**5 + 48*i**3 = 0.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1) + -11 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 1\/5*w**5 + 0*w**4 + 0 - 2\/3*w**3 + 6*w + 0*w**2. Factor a(f).\nAnswer: 4*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4723\/3 - -28255\/18. Find the common denominator of s and -4\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 + 521 - 151 - 104 - 34*v**3 - 133.\nAnswer: -34*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 12*k - 2 + k in the form l*k + f and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 292. Let n(v) = -195*v. What is n(q(y))?\nAnswer: -195*y - 56940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 413415689 to the power of 1\/3, to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 38. Let t be (r\/(-6) - 2)*(-48)\/8. What is the units digit of 12\/(t + -6) - -39?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(80)*1 - sqrt(80) - sqrt(80)) + -1*sqrt(80) + -4 - 5*(sqrt(80) + 1)*-4) + 4)**2.\nAnswer: 3040*sqrt(5) + 29280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**2 + 64*v + 68 = 0. What is v?\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12466489 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 6 = 4*w - 2, 3*a + 5*w + 21 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*d**2*f - 2*d*f*j + 18*d*j*n**2 - f*j*n + 130*f*n**2 - 2*f*n + n**2 wrt d?\nAnswer: 38*d*f - 2*f*j + 18*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**5\/120 + 13*c**4\/24 - 7*c**3\/6 - 4*c. Let q(p) be the second derivative of y(p). What is q(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47975 = 47944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 459630 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 8*b + 20. Let m be l(10). What is the remainder when 86 is divided by m - (0 + -24 + 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 201820, 201819, 201818, 201817?\n\"Answer: -j + 201821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177 - 9 + 28)*(2 + 3 - 6)*(t - t + 2*t**2).\nAnswer: 316*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -413, 0.2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25042, 100180, 225408, 400726, 626134, 901632, 1227220?\nAnswer: 1602898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4 - (0 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5336011515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*a = 12 + 3, 7 = -3*v + 2*a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2856413 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 121948237 a multiple of 982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 d when three letters picked without replacement from {v: 4, n: 4, j: 1, d: 3, z: 4}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/388752 and 127\/2850848?\nAnswer: 8552544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agga when four letters picked without replacement from eaaeaeg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z + 10 = 4*b, -5*b = 2*z - 4. Suppose 2*p = 4*p + k - 9, -2*p - 3*k = -19. Find the common denominator of b + p + 291\/(-48) and 75\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**5\/30 - 2*i**2 - 2. Let l(o) be the second derivative of y(o). Let p(x) = 0 + 0 - 4*x. Determine p(l(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 + 759*d\/4.\nAnswer: d*(d + 759)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129\/3*(((-5)\/(-9))\/(49\/1323) + -14).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-364)\/(-65))\/14)\/(16\/(-5)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -4 (c) 25220 (d) 128.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191*y + 563*y - 186*y - 121*y**2 - 185*y to the form u*y**2 + r*y + h and give u.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmr when three letters picked without replacement from {l: 1, v: 2, f: 2, r: 2, m: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-18 - -22) + -13. Sort 2, -12, h in descending order.\nAnswer: 2, h, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**3 - 32838625*p**2 - 127048769?\nAnswer: 3*p**2 - 65677250*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/316, 36\/739, -63?\nAnswer: 36\/739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 3)\/((-4)\/(-72)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 a factor of 835063194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3547991\/397 - -8937. Are -1 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 7*b - 6*b. Let h be (12 + 0)*b\/(-4). Let m be 4\/(-12) - 8\/h. Do m and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*o = 38241, 4*q - 45250 = o + 5763. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32598016 and 277824?\nAnswer: 97794048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(6*(0 + sqrt(125)) - sqrt(125)) + (0 + sqrt(125) + -3 + sqrt(125) - (sqrt(125) + 0 + sqrt(125) + (sqrt(125) - (sqrt(125) + -1)) + sqrt(125)))**2.\nAnswer: -185*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 12*n = -40, -3*z - 3 = -6*n + 3*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9368 + -1654. Suppose q = 8*k + 2338. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*-1)**2*-4 + (sqrt(1088) + 0 + 2)**2 + sqrt(1088) + -2 + 1 + -1.\nAnswer: -3262 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**3\/6 - 3*k**2\/2 - 9*k. Determine b(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuf when three letters picked without replacement from {d: 1, f: 2, z: 10, u: 2, v: 3, k: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*(-165)\/(-1485)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*n - 28. Solve -l + 3*w - 1 = 19, -5*w + 45 = -n*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39, 38, 21, -12, -61?\n\"Answer: -8*p**2 + 23*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(3\/5)*q*q*q)\/q*q\/(q*q**(1\/4))*(q**(4\/9))**(-20\/3))**46 assuming q is positive.\nAnswer: q**(4807\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {o: 8, k: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2293 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4041 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 57*f**2 + 3255*f - 185540. Determine u(57).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 834508.5 micrometers?\nAnswer: 0.0008345085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*s + 3*d, 0*s + 5*d = -2*s + 6. Let a = -278\/5 - -824\/15. What is the nearest to a in s, -1, 22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/171 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 14084. Let i(k) = 3*k. Determine i(u(l)).\nAnswer: 9*l - 42252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, -5, 2\/11, 5, -2\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b = 4*i + 22, -b + i = -6. What is the lowest common multiple of b and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -96090, -192481, -288872, -385263?\n\"Answer: -96391*h + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 10*f + 15. Let y be q(12). Let p = 12 + y. Suppose z - p*z + 78 = 0. What is the remainder when z is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 0 (c) 0.408\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k - 25 = 0. Find the common denominator of (-4 - (-87)\/21)*k and -50\/141.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379032873?\nAnswer: 3, 126344291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 4:15 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 46516.5 and 5.\nAnswer: 46521.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 10\/(-4))*-22. Suppose -k = -4*p + 5*p + s, -5*k - 56 = 4*p. List the prime factors of (-4)\/3*k\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 + 195*i - 341. What is c(47)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 2:00 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -145, 82, 5, 19 in increasing order.\nAnswer: -145, -1, 5, 19, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -371*m. Let k(n) = -573*n + 8. Determine g(k(o)).\nAnswer: 212583*o - 2968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*n*w**3 + 5*n*w - 4*n + 3*w**3 + 435 with respect to w.\nAnswer: -21*n*w**2 + 5*n + 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 719, 717, 713, 707, 699, 689, 677?\n\"Answer: -o**2 + o + 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8679, 3, 2, -7, 5, -2.\nAnswer: -7, -2, 2, 3, 5, 8679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c**(-24)*c)\/c)\/c)\/c*c**(2\/13)*(c**(2\/7)*c*c*c*c)**41 assuming c is positive.\nAnswer: c**(13729\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 312121?\nAnswer: -312130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3937 - -3939. Let u = 1523\/7 + -218. What is the biggest value in r, u, 7\/12, -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1515.\nAnswer: -2\/1515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1620, 5, -1\/4, 3, -90?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**3 + 3*r**2 - 3*r**2)*(-3 + 0 + 2) - 3*r**3 - 2*r**3 + 3*r**3 as t + c*r**3 + n*r + y*r**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10567\/2 + -52833\/10. Let l = 0.1 - 0.5. Which is the third biggest value? (a) l (b) u (c) -26\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 24*m - 57. What is the smallest common multiple of q(15) and 260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 - 2*m - 4. Let u be r(2). Solve 3*k = u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 214486022 or 214486020?\nAnswer: 214486022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171281 and 506?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 27 + 17 + (1 + 1 - 3)*(0 - 1 - 4))*(-4*i - i + 6*i) + 2*i + 1 - i - 4*i in the form s + l*i and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**6 + 10*h**3 - 2*h**2 - 1 wrt h.\nAnswer: 720*h**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -365 + 457. Calculate the lowest common multiple of f and 1.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.289 in 0.1, 3\/2, -7\/6, 299?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4 + 66*o**3 + 240*o**2 - 1056*o - 4608 = 0. Calculate o.\nAnswer: -16, -6, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 0, 5, 2 in decreasing order.\nAnswer: 5, 2, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/125 or -878859?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 9*w**2 + 7*w + 9. Let k be t(-8). Let o = k + -16. Let z be (1 - 0)*2\/o. Solve 0 = -3*f + 5*d + 10, 4*f - z*d - 23 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3334658 times 0.04\nAnswer: 133386.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 274, 5, 4553 in ascending order.\nAnswer: 5, 274, 4553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -f + 284, 0 = 2*c - 6*c + f + 381. Calculate the remainder when c is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 3, v: 1, i: 1, a: 2, j: 3}. Give prob of picking 1 a and 1 z.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/3060 and -37\/2036955.\nAnswer: 415538820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 143 = 9. Let u = -36 - l. Suppose 0*p + u*p = -8. Let x(n) = -n**3 - 3*n**2 + 4*n + 3. Give x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632048 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -36, -58, -98, -162, -256?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 135*k**2 + 2569*k + 2450. Calculate m(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240578316 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (-30 + 0 + 22 - 6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*a - 8*i, -a + i - 18 = -22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45968083001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/9)*p*p**(-8))\/(p**(-2\/3))**8)**(-30) assuming p is positive.\nAnswer: p**(130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2 - 3*o - 3. Let c(i) = -11*i**2 - 5*i - 5. Give 3*c(y) - 5*m(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*j**2 - j**3 + 37*j**2 + 5*j**3.\nAnswer: 4*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10*l - 5*l + 7*l = 0. Is -5\/1919 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {v: 1, y: 11}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.2571 centimeters in kilometers?\nAnswer: 0.003152571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 + 2*k - 81 - 3*k**2 - 216*k**3 + 3*k**2 - 12.\nAnswer: -216*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 12. Let s be d(-12). Suppose s = 3*j - 128 - 37. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 2*a**2 + 2*a + 1. Give h(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -398?\nAnswer: -398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 892, 912, 968, 1078, 1260?\n\"Answer: 3*i**3 - i + 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i + 17. Let m be q(3). Let f = -11 + m. Does 6 divide (-12 + f)\/5 - -45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6627 + 6627 + 60251*s**2 - 21974*s**2 + 282638*s**2.\nAnswer: 320915*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16.9 and 0.01705229029.\nAnswer: -16.88294770971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**2 + n - 1614. Let c(t) = -1. Determine 4*c(y) - o(y).\nAnswer: -2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -28785881.03 to the nearest 10000.\nAnswer: -28790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnpptwnrpprtphppwr. Give prob of picking 1 h, 1 p, and 2 r.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-1)\/(-4)). Let x = -25\/4 - l. Which is the smallest value? (a) -1\/7 (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 7. Let s(u) = -138*u - 11. Give 2*j(i) - s(i).\nAnswer: 134*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25242, 61781, 98320?\nAnswer: 134859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630490 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7050\/(-4))\/((-1)\/80*5). What is r rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, y: 7}. What is prob of sequence bbb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -34. Let u(i) = -i - 1. Let x be u(a). Suppose -3 = -x*j + 7. Solve j*y = -3 + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Suppose 2*g = 15 + 9. Suppose 3*t - 5*h + g = d, -t + 3*h - 10 = -2*t. Are t and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + (-10 + 6 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 780 + -762. Suppose 21*x - b*x - u - 79 = 0, 41 = x - 4*u. What is the remainder when 214 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*h = 350, -362 = 3*o - 0*h + h. What is the units digit of (4\/5)\/((-3)\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2443277180 to the nearest one hundred thousand.\nAnswer: -2443300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/28)\/2)\/(10\/((-630)\/(-117)))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: c77c3 (base 13) to base 9\nAnswer: 607062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-5)\/(15\/81). Suppose 0 = 7*z - 5*z - 82. Let r = z - w. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 115629, 2, -2\/11, 3\/17?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 232877, 1863074, 6287903, 14904680, 29110721?\n\"Answer: 232886*l**3 - 5*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*49\/252*-9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**6\/40 + 29*s**5\/12 - s**4\/24 - 277*s**3\/6 - 73*s**2. Find the second derivative of y(c) wrt c.\nAnswer: 18*c + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j + 13. Let x(w) = w - 6. Give -3*v(c) - 5*x(c).\nAnswer: c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + 47. Let s = 23 + -46. Which is greater: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1814903 is divided by 453709?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 6*i + 7. Let w(l) = l**2 - l**2 + 12*l - 2*l**2 + 14 - l**2. Let p(z) = 3*w(z) - 5*x(z). What are the prime factors of p(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 7*b - 1 + 6 + 3*b. What is s(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10408399.\nAnswer: 10408399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dadadaaaaadda. What is prob of sequence daaa?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/20 at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7531 + -1071. Is q a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ec2 - 0?\nAnswer: -ec2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (0 + -23 - 0). Calculate the greatest common divisor of 33 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 705*q**3 - 5*q + 2. Let k(d) = 351*d**3 - 3*d + 1. Give 10*k(t) - 6*o(t).\nAnswer: -720*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*j = 354555, 229044 = 4*v + j - 243681. Suppose -31*z = -468513 + v. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 2 = -15*d. Let c = -4\/83 + -26\/2905. Is c not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1313203133 (base 4) to base 11.\nAnswer: 304a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 8:28 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 323, 334, 343, 350, 355?\n\"Answer: -a**2 + 14*a + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g - 3 - 15. What is the units digit of g\/5 + (-1947)\/(-55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 4 + (-3 + 2 + 0)*(1 + 2 - 5))*(-4*h**2 + 3*h**2 - 4*h**2 + (-30 + 30 + 6*h)*(-4*h + 5*h - 2*h)).\nAnswer: -55*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 1456 a factor of 44493843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 45*l**2 - 765*l + 973. Give w(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 + 207 - 634 + 2*k**2 + 213 + 211. Let i(v) = -4*v**2 + v - 11. Give -9*a(s) + 2*i(s).\nAnswer: s**2 + 2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -75. What is the common denominator of (-196)\/24*(-18)\/t and -6\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 635, 2597, 5763, 10055, 15395?\nAnswer: 21705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 1, -6\/13, 35, 2\/5?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 32 = 16*p. Let h(a) = 2*a**2 - 17*a + 33. Let z be h(11). Calculate the highest common factor of p and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 45 = 3*f - 4*j, 0 = 5*f - j + 46. Let g = f - -618. Is g a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4911073 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -11. What is the units digit of 4*2*b\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -3123?\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 8*d + 11 = -5*d, -17 = -4*t - d. Calculate the remainder when 38 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 40*x**4 + 3291404*x**3\/3 + 22570062344*x**2\/3 + 8275027600*x\/3 - 1504590368\/3 = 0.\nAnswer: -13714, -1\/2, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/55 and (-4085)\/(-7800) + 18\/(-48).\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20666788, -20666789, -20666790, -20666791, -20666792?\nAnswer: -20666793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4138 rounded to the nearest one hundred?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**4*b*b\/(b**3*b)*b)**(-33\/5) assuming b is positive.\nAnswer: b**(-132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/13, 2\/13, -0.1 in descending order.\nAnswer: 2\/13, -0.1, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32648672 and 184?\nAnswer: 32648856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*i + 15*i + 14*i + 3 wrt i?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*g - 2. Suppose -7*y = -5*n - 2*y, 2*y + g = 0. What are the prime factors of (8\/16)\/(n\/(-48))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 491, 730, 965, 1196, 1423, 1646?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 164 and 9.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -747 (c) -5 (d) 1693\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/25 + 39\/30*8. Let g(r) = -r**2 + 19*r - 71. Let s be g(o). What is the highest common factor of 4 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*k = -2, -3*q - 27 = 4*k + 7. Which is the fourth smallest value? (a) 1\/2 (b) 3 (c) 0.3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 19*r**3 - 3.\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from tvtvuvtvttu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**2 - 265*l - 213. Calculate h(34).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22609749439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 4:43 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 890898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/12)\/5*-15. Suppose -5*p + 5 = -3*w + 4*w, -5*w = -5*p + z. List the prime factors of p - (-5 + 3) - -10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 - 195 = -2*y. Let m(v) = -v**3 + 23*v**2 - 18*v - 75. Let q be m(22). What is the highest common divisor of y and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09756 + -0.45531009.\nAnswer: -0.35775009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314969 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 4:04 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 138*o - 38664. Give x(178).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 125604006?\nAnswer: 125604013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3236*r + 68. Let z be x(13). Round z to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + b = 3*b - 10, b - 1 = j. Suppose -34 - j = -4*g. Let h be (20\/(-6))\/((-6)\/g). What is the greatest common factor of h and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**4 - z**3. Let o(m) = 40*m**4 + 28*m**3 - 16*m**2. Let r(v) = o(v) - 20*p(v). Solve r(t) = 0 for t.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*i - 78 = -3*i, -4*n - 4*i = -80. What are the prime factors of 135 + (1 + -1)*(-11)\/n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n*n**(-10\/11)))\/n*n*n*n\/(n\/(n\/n**(-1\/8))))\/((n\/(n*n\/n**(7\/3)))\/(n*n**14)) assuming n is positive.\nAnswer: n**(4673\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/9 - 28*f**4\/9 + 64*f**3\/9 - 4*f**2\/9 - 62*f\/9 + 32\/9 = 0.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**5 - 163*x**3 - x - 166 wrt x?\nAnswer: 40*x**3 - 978*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -12\/55 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3659\/290 + -63\/5. Let h = t + -561\/580. What is the common denominator of h and 123\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**(5\/6))\/b)\/(b*b\/((((b\/((((b\/(b**(2\/7)\/b))\/b)\/b)\/b))\/b)\/b)\/b)))\/((b*b**1\/b)\/(b\/(b*b\/(b\/(b**(-2\/23)\/b))*b*b)*b)) assuming b is positive.\nAnswer: b**(-3343\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 104, -2, -10 in increasing order.\nAnswer: -10, -2, 1\/2, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3416)\/(-210) + -15 + 6\/(-9)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 462 and 2632770?\nAnswer: 28960470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6667 - -6657. Sort -7, -1, 4\/9, -3\/7, z.\nAnswer: z, -7, -1, -3\/7, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**4\/12 + 13*v**3\/6 + 3*v**2. Determine h(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 x when three letters picked without replacement from sccvusuccsxswccwv?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2748 by -6.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51434 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2730696*h + 344. Let f be s(11). Round f to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/6 - 14879*j**3\/3 + 14878*j**2 - 44633*j\/3 + 29755\/6 = 0.\nAnswer: 1, 29755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4 + 5*r**3 + r**3 - r**2 + 0*r**2 - 2*r**3. Let s(g) = -3*g**3 + 2*g**2 - g - 3. Let n(b) = 2*c(b) + 3*s(b). Let a = 11 + -7. Determine n(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 174*g**4 - 3633*g**3 + 20265*g**2 - 31431*g - 4095 = 0.\nAnswer: -7\/58, 3, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 901 + -2753\/3. What is the common denominator of 57\/112 and q?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3829 + 6816. What are the prime factors of q?\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11321 - -3108?\nAnswer: 14430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -192 + 287. What are the prime factors of o?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -128*r - 12445. What is c(-95)?\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - 4 - (-3)\/6*-14. Let a be (1 + 0)\/(-2*(-2)\/u). Let l be (-6 + a)*24\/(-14). Which is greater: l or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 750 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97151027?\nAnswer: 97151027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -24, -19, -104, 3, -10 in descending order.\nAnswer: 4, 3, -10, -19, -24, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - s**2 + 2*s - 25 - 8.\nAnswer: -s**2 + 2*s - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 95962153579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/6)\/(3\/(-63))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 8:41 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 245, 1017, 2271, 3983, 6129, 8685?\n\"Answer: -4*g**3 + 265*g**2 + 5*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -276*d - 1935.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*g + 21 = 4*g, u + 204602*g - 102298*g + 10 = 102305*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2103 in -1\/8, -4, -121, -2\/3, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 6\/11, -1, 0.3, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1748 and 11.\nAnswer: 19228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(931)*-1)**2 - ((sqrt(931) - (0 + sqrt(931))*-1) + sqrt(931) + -1)**2.\nAnswer: -9320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/13 + 8568*o\/13 + 9176328\/13.\nAnswer: 2*(o + 2142)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 552 - 311. Let s = 227 - m. What is the nearest to s in -0.1, 3, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004663 (base 7) in base 14?\nAnswer: 316da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/3, -1927, -4, -1\/9 in descending order.\nAnswer: 1\/3, -1\/9, -0.5, -4, -1927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**4\/9 + 23*l**3\/3 - 34*l**2\/3 + 200*l. Determine t so that v(t) = 0.\nAnswer: 1\/2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2 - -1) + -1)\/(4\/(-100)). Let n be (-2)\/((-4)\/c - 1 - -1). Let l be 5*(-4 + 120\/n). Let u(o) = o**3 - 4*o**2 - 2*o + 2. Give u(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 33512860750252*l**2 + 33512860750254*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 19*b**3 + 2*b - 1. Give n(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 7. Let j(g) = -g**2 + 15*g + 14. Let n be j(14). Suppose 2*x = f*x - n. What is the highest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702*g - 109773 = -711*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 4\/65*b**6 + 0*b**2 + 0 + 0*b**3 + 1\/39*b**7 - 1\/39*b**4 - 10*b + 3\/130*b**5. Suppose i(p) = 0. What is p?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -91, -130, -185?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-10) + 108\/(-45) + 4. Solve -c*n = 5 + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -243.1 * -2.\nAnswer: 486.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 10*x**3 + 3*x**2 + 3*x. Let k(h) = 9*h**3 + 4*h**2 + 2*h. Let s = -7 + 5. Let n(i) = s*t(i) + 3*k(i). What is the third derivative of n(q) wrt q?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v. Let x(f) = f**2 + 3*f. Suppose 26 = -4*p + 10. Let d(n) = n**2 + 4*n. Let r(s) = p*x(s) + 3*d(s). Give k(r(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-456) + 21\/(-19))*17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1130485*t**4 - 28363*t**2 + 14*t.\nAnswer: 27131640*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -15*i**2 + 2*i - 3. Determine a(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 divided by 6228?\nAnswer: 307\/6228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1178, -1171, -1160, -1145, -1126?\nAnswer: -1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 14. Let u(l) be the first derivative of -1 + 0*l - 6\/25*l**5 - 1\/10*l**4 + 2\/5*l**2 - 1\/15*l**r + 2\/5*l**3. Let u(m) = 0. What is m?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.1, 134\/33, -4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 1\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {p: 9, u: 1, o: 1, a: 1, v: 4, r: 4}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 94445 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = -4*w - 8*k + 3*k, -4*k + 62 = w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61124249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by 31?\nAnswer: -132\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*i + 324, -3*v = 4*i - 3*i + 90. What is i rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - i - i)*(2*i**3 - 5*i**4 - 2*i**3) + (i**4 - 2 + 2)*(-i - 3*i - 2*i) + (0*i - i - i)*(-i + i + 2*i**4).\nAnswer: -35*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13*21\/(1 + -4) - 3. Suppose 20 = 4*v - x. What is the greatest common divisor of v and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -18*u**2 - 24 + 15*u - u**3 + 92 - 46. What is the remainder when z(-19) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.8 + 11.5. Let s = 1.2 - -0.8. Which is the nearest to s? (a) 0.18 (b) 2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1540 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71722 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 218666421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -918626 - -472457. Let c = z + 446169.999996. Let w = c - 1. Round w to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -3*g**5\/40 + g**3\/3 - g + 62. Let q(d) be the third derivative of i(d). Let j(h) = -2*h. Give q(j(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25164, 50323, 75478, 100629, 125776, 150919, 176058?\nAnswer: 201193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5571, -5543, -5497, -5433?\nAnswer: -5351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*z - 49*z + 0 + 1.\nAnswer: 71*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + -10. Let c be (-1)\/((n\/16)\/3). Sort 7, c, -5, -2 in ascending order.\nAnswer: -5, -2, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/((-272)\/391) - -8255 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*q + 118, 2*q - 44 - 26 = -3*z. Suppose -4*h + z = 66. Let r(g) = -3*g - 7. What is the units digit of r(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 2. Let z be 10\/3 - 2\/(-3). Suppose 0 = j - z*j. What is b(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -19 in descending order.\nAnswer: 5, 3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/7 - 18506184*t\/7 - 28539903853488\/7.\nAnswer: -3*(t + 3084364)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 102967575 divided by -517425\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1688 divide 25573298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = 15*f - 19*f. Calculate the remainder when f is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -2, 118 in descending order.\nAnswer: 118, 22, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1899 (c) 0.1 (d) -2\/5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(4\/12*14\/7)\/((-91)\/13).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2741 = -z - 2760, 4*z + 28 = 4*w. Which is smaller: z or -232?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 5*u + 2. Let d be z(5). Solve d*t + 12 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i. Let r(y) = y. Let o(x) = -4*j(x) + 5*r(x). Suppose -8 = -5*d + 2. Let c(k) = k**2 + 2*k - 6*k**2 - d*k. Determine o(c(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b + 121 = 5*h, 4*b = -3*h - 145. Let d = 113 + b. Is d at least 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + (-1 + 0 - -3). Let o = d - -26. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3629951.9 to the nearest 10000.\nAnswer: -3630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 773241*w**3 + 12119*w**2 + 2*w - 1 wrt w?\nAnswer: 4639446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.641904?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1725241 and 63?\nAnswer: 15527169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11410 and 492660?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/690 - (-128)\/1920.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -456638, -456640, -456644, -456650, -456658, -456668?\nAnswer: -456680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 339606 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 191 + 82. What is the greatest common factor of 63 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 4:22 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8087822?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.747 - 5.96. Round k to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*u + 8255 = 240*u. Solve -105 = -22*j - u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -q - 3. Suppose -c = q*c - 12. Suppose 2*t + 2*t = -4, 5*t = u - 10. Solve c*d - 17 = u*m, 16 = 3*d - 0*m - 4*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -21*k**2 + 30*k - 6. Let p(i) = -4*i**2 + 6*i - 1. Give 2*b(n) - 11*p(n).\nAnswer: 2*n**2 - 6*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 164*h - 231*h - 209*h - 67*h.\nAnswer: -671*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 7*f**2 + 3*f - 9. Let j be a(7). Find the first derivative of -3 + 2*o - 57 - 84 + 0*o + 25 + j*o**3 wrt o.\nAnswer: 36*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*s + 142*s + 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39135026.\nAnswer: 2, 7, 241, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -101102210021220 (base 3) in base 10?\nAnswer: -5546445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350018447.\nAnswer: 3, 691, 651239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 1941.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11643436, 11643439, 11643442, 11643445, 11643448?\nAnswer: 11643451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/(6\/(-54))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from homookmodd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4.98 times -0.4\nAnswer: 1.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-1) - 39*10\/(-30). Solve -y*s - 4 = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 248 - -620. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(-190)*10\/(-4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 48. Give r(0).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/23)\/(6\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329467, 658935, 988403, 1317871, 1647339?\nAnswer: 1976807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -80*d**2 + 22*d + 12. Let m(r) = 2*r**2 + 2*r + 1. What is -12*m(o) + t(o)?\nAnswer: -104*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*z**2 + 4 + 2*z**4 + 2*z - 3 to the form p*z**2 + t + y*z**3 + d*z**4 + k*z and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -49237 + 98474 - 49238 - 3*v**4 + 5*v**3 - 11*v - 2*v**3 in the form d*v**2 + j + g*v**3 + q*v**4 + k*v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 98\/1 + (-1 - (8 + -11)). Calculate the highest common factor of 1220 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77104 = -46*d - 77794 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14730 * -73.\nAnswer: -1075290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 2*f + 1 = f, -h + 7 = f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 125268022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41 in 4\/55, 0, -2?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/440 and 49\/1265?\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4485 and 1725?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*b + 43*b - 9*b**2)*(2*b + 0 + 0) - 3 - 3*b**3 + 3 as y + q*b + k*b**3 + i*b**2 and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 10 + 18\/(-6). Let j = a - 1. Find the second derivative of -g - g**3 - 5 + j wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22548 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) -0.1 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/2550*-17)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*3\/(-21)*3. What is the second smallest value in -5, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -12*u. Let c(n) be the third derivative of 1\/60*n**5 + 0*n - n**2 + 0*n**4 + u + 0*n**3. Determine b, given that c(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 393. Suppose 0 = -5*z - 4*k + b, -58 = -z - 2*k + 11. Suppose z*l + 44 = 77*l. What is the remainder when l is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 129.81 and -0.2.\nAnswer: -25.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*n**2 - 40*n**3 - n**5 + 1 - 1 + 15*n**3 wrt n?\nAnswer: -60*n**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*m. Suppose 3*q = -h + 11, m*h - h + 9 = 2*q. Suppose 195 + 127 = q*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 9*u - 2. Let g be w(7). Let o = -31 - g. Solve 9 = -o*j + 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-516)\/258 - 117\/3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*m**3*n*p**2 - 78*m**3*n + 3*m**2*n*p + 2*m**2*p**2 + 6*m*n**2*p**2 - 2*m*n**2 wrt p.\nAnswer: 36*m**3*n + 4*m**2 + 12*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 197410? (a) -5 (b) -1\/3 (c) -2\/7 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3\/5*a**4 - 33\/5*a**2 - 12\/5*a**3 - 18\/5*a = 0 for a.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 + 428*t**2 + 10*t - 2*t**3 - 127 + 1924*t**2.\nAnswer: -2*t**3 + 2352*t**2 + 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 4*d**2 + 0*d + 0*d**3 + 0 - 1\/24*d**4. Let g(j) = -j**2. Determine g(p(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 (base 9) in base 14?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 16) to base 14.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*q + 119*q - 359 = -53*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -501, -504, -507?\n\"Answer: -3*u - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203005040 (base 6) to base 5.\nAnswer: -1344002204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.075 * -0.406\nAnswer: 0.03045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {a: 2, x: 7, e: 1, z: 8}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 749640 and 12.\nAnswer: 749640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 8:30 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -48, -100, -170?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -2*z + 13, -375474*n + 2*z - 22 = -375476*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -658181 + -11?\nAnswer: -658202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 52900 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 2. Let q(l) = -9*l - 116. Let i be q(-14). Suppose -i = -h*m + 35. Solve m + 3 = 4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.018 in -1, -0.2, -2\/55, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/91)*w**(-20\/3)*(w\/w**(-31)*w*w*w*w)\/(w**(-6\/7)\/w) assuming w is positive.\nAnswer: w**(8509\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/(110\/176)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-1)*7\/(-2730)*-13?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10579717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595, -138, 319?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2. Let m(f) = -474*f**2 - 4*f + 1. Let z(v) = -1. Let l(b) = m(b) + z(b). Calculate l(y(a)).\nAnswer: -1896*a**4 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00688932723 rounded to 4 decimal places?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -722252.2 rounded to the nearest 10000?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 61185428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -10*v**3 + 281*v**2 - 29*v + 44. What is the remainder when 62 is divided by d(28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18472, 18467, 18460, 18451, 18440, 18427, 18412?\n\"Answer: -o**2 - 2*o + 18475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:00 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28\/205 (b) 0.3 (c) -5 (d) 3\/14 (e) -0.1 (f) -2 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41.4 - 41.35. Let a be (1\/(-5))\/(12\/(-10)). What is the second smallest value in -5, a, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 71775*u**3 - 861396*u**2 + 3445712*u - 4594368.\nAnswer: (u - 4)**3*(u + 71787)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34079 by 1.\nAnswer: 34079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 - 26 + 2*t**3 + 0*t**3 + 7*t**2.\nAnswer: 2*t**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 525.47 + -482.3. Let i = 43 - r. Let w = 0.07 + i. What is the closest to w in -4, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -821.24656 rounded to the nearest 10?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320000 = -134*v + 508731 + 331993. Does 58 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2*(sqrt(13) - sqrt(13)*1) + sqrt(117) + 1 + sqrt(117) + 1 - (1 + -1 + sqrt(1053) + 1))**2.\nAnswer: -4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 801 + 638 + 5040*l + 1401 - 5043*l as o*l + h and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 1, 2\/5, 4, 0.08, -1.9, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 461237 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**5\/20 + i**4\/6 + i**3\/3 - i**2 - i. Let p be b(-2). Let x = p + 9. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 254 - 252. Which is smaller: r or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -28*r. Let d(h) = -28*h + 1. Let t(p) = 2*d(p) - 3*x(p). Is t(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**5\/15 - h**4 - 9*h**3 - 34*h**2\/3 + 2048. Determine o, given that f(o) = 0.\nAnswer: -4, -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -496*y + 9. Let g = -10 - -21. Let s be 0\/(-2) - (-10 + g). Is c(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 503477?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 0*k)*(-19 - 18 + 28).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4265 + 4264. Put 5, m, 13, 10, 2 in descending order.\nAnswer: 13, 10, 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccdmiicdrdmdicdcici. What is prob of sequence rdd?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85832*h**3*n**3*q**3 - 161*h**3*n**2*q**3 - 6*h**3*n*q**2 + 5750*h**2*n*q**3 - 1253*n**3*q**3 wrt n.\nAnswer: -514992*h**3*q**3 - 7518*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, a: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:20 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3299184 and 48?\nAnswer: 3299184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(40\/(-15))*(-12)\/(-21)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 4*h**2 + 2*h + 1. Let f = 2 + -4. Let y be l(f). Let w = -0.9 - 0.1. What is the closest to y in w, 2\/7, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -409972*r**3 + 26893?\nAnswer: -1229916*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 370 and 4070?\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/34757836 and -89\/18?\nAnswer: 312820524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110110100 + 1101111?\nAnswer: -11101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*j - 12, -13*c - 5*j = -10*c - 9. Suppose 10*l - 6*l + 25 = 5*t, -4*l - 17 = c*t. Let o(x) = -x - 7. Let b be o(-9). Solve b*s - s = t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-23) + 42*(-3)\/138?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 - 5*i**2\/4 - 6*i.\nAnswer: i*(i - 8)*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -914675065 and -9.\nAnswer: -914675074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11\/2, 1, -76\/7?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 135 = 359. Let m = y - -38. Suppose -m*c - 14 = c. Let a(t) = t**3 + 2*t**2 + t - 1. What is a(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*h + 6 - 20, -2 = -f + 2*h. Factor -3*b**4 - 5*b**4 + 5*b**5 + 13*b**f.\nAnswer: 5*b**4*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 389703, 389666, 389629, 389592?\n\"Answer: -37*g + 389740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s - 44 = a, 100 = 5*s - 5*a. Calculate the greatest common factor of 516 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/27, 13, -20, 1, 2\/7, 3?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67092?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**3 - 3*u**2 + 3*u. Suppose -3*w - 5*i = 9 - 34, -i = 3*w - 29. Calculate the smallest common multiple of w and c(2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 5*n**2 + 5*n - 5. Suppose t + 19 = 4*p, -2*p - 4 = 4*t - 0. Calculate v(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 262013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 2*t - 21.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -5631?\nAnswer: 5632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1683 and 918?\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 11 - (28 - 13)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 5*v. Let x be f(4). Calculate the common denominator of -21\/4 and 1407\/(-66) + 8\/x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let g be (-2 - (-6 + 4))\/5. Let i(h) be the second derivative of 5\/6*h**3 - 4*h + 0*h**2 + g. Determine s(i(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 + (0 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -12. Let h(z) be the first derivative of -z**2 + 3*z + 38. Calculate h(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -788.3 - -829.3. What is the fourth smallest value in 2\/17, 3\/7, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 22?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71840 is divided by 71820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -10. Let l be 0\/(1 - (-12)\/(-3)). Solve -t + i + 0 = l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 2 + 5 - (-1 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 103136 divided by 22\nAnswer: 4688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -17*a**3 + 38*a**2 - 60*a + 24. Let f(o) = 14*o**3 - 38*o**2 + 62*o - 26. Let v(y) = -5*f(y) - 4*m(y). Factor v(z).\nAnswer: -2*(z - 17)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:40 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 - 18*q**3 - 6*q**3)*(8 - 3 + 14*q**2 - 13*q**2).\nAnswer: -19*q**5 - 95*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (85974\/147384)\/((-1)\/(-84))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 197 + -193. Suppose -5*y + s*n = -17833, 0*y - 3581 = -y - 4*n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10338?\nAnswer: 2, 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322169019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2162.14310476 - -2161.3631. Let f = -66.4 - -67.18. Let s = f + z. Round s to 7 decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 3*s to v + l*s and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 12*o**2 - 8*o - 33. Is q(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 849 - 847. What is the tens digit of 847534\/1098 - c\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 26 = -34, -n - 9 = -3*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1581314l in millilitres?\nAnswer: 158.1314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 6 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15323277.\nAnswer: 3, 5107759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (-4*(0 + sqrt(112)) + (6*(sqrt(112) + -1*sqrt(112)) - sqrt(112)) + 2)**2).\nAnswer: -480*sqrt(7) + 16836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36, -222, -1286, -3672, -7896, -14474, -23922?\n\"Answer: -86*f**3 + 113*f**2 + 5*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(3*p - 4 + 4) - p + 14*p - 5*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 3. Let i be n(3). Let x be (4\/10)\/((-99)\/(-55)). Are i and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12935, -12936, -12937, -12938, -12939?\nAnswer: -12940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-4)\/(-14) + 3443\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**7\/945 - c**6\/135 - c**5\/45 - c**4\/27 - c**3\/27 - 3*c**2. Factor w(i).\nAnswer: -2*(i + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455892619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(1 - 1 - 2*w) + (9 - 4 + 0)*(11*w + 733 - 733) - 3*w + 3*w - w.\nAnswer: 58*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from {d: 3, u: 7, j: 1, e: 2, f: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/99 - 136\/22. What is the remainder when (-16)\/l*5925\/100 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)*y**(1\/4)\/y)\/(y\/y**(4\/3)*y**(-3)) assuming y is positive.\nAnswer: y**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + b**2 + 4*b**2 + (-b + 0*b - b)*(0*b + 3*b - b))*(143058*b - 287877*b - 6*b**2 + 143168*b).\nAnswer: 12*b**4 + 3302*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*t + 4*o - 4 = 0, 9 = 5*t + 3*o. Let a(h) be the first derivative of 9*h**4\/4 - 3. Calculate the lowest common multiple of t and a(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 0*a**3 - 86*a**4 - 6*a**3 + 46*a**4 in the form n*a**4 + z*a + i*a**2 + r*a**3 + l and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25238 or 27917?\nAnswer: 27917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f**0*f))**(-2\/3))**(-15)\/(f*f**(-1\/2)*f**(-1\/10))**(1\/5) assuming f is positive.\nAnswer: f**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16470, 30335, 44186, 58017, 71822, 85595, 99330, 113021?\n\"Answer: -h**3 - h**2 + 13875*h + 2597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.113 + -0.06. Let h = -0.757 - m. Let b = -0.8100066 - h. Round b to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*o + 0 - 9 - 62 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17536*h + 102197 with respect to h.\nAnswer: -17536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 - 10144*u**2\/5 + 40588*u\/5 - 40592\/5.\nAnswer: -(u - 2)**2*(u + 10148)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.78 * 12\nAnswer: -9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 4*q + 20 = 0. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656910 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 - 3*o. Let n(q) = -q. Calculate h(n(s)).\nAnswer: 7*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - x**2 - 1. Let b(k) be the third derivative of k**6\/20 - k**5\/6 - 5*k**3\/3 - 73*k**2 + 3*k. Determine -b(u) + 10*g(u).\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:43 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 60039?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5447, -21929, -49445, -87995, -137579?\nAnswer: -198197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(2\/5))\/h**(-2\/53))\/(h**(22\/5)\/(h*h**34\/h)))**(-45) assuming h is positive.\nAnswer: h**(-72117\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i + 1073. Let c(y) = -38*y. Calculate z(c(h)).\nAnswer: -152*h + 1073","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -0.45, 967, -2\/17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-8) - 12078\/(-72). Let a = -35 + j. Does 25 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.8989916?\nAnswer: -2.6969748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*(0 - (-32)\/(-7))\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**4\/6 - 3*s**3\/2 - 4*s**2 - 4009*s. What is w(7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and 2058.\nAnswer: 2058.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769563 = 4324*w + 4550*w + 228249 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22 - (0 + -2) - -4. Suppose -4*l + 370 + 38 = 0. Let x = l + -32. What is the highest common divisor of x and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -392, 3, 2.\nAnswer: -392, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551079 is divided by 678.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 12*l**2 - 13*l - 20. Let v be w(-11). Let k be 5 - 6*4\/12. Solve -r = -v*n + 6, -k*r + 4*n = 7*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18933 is divided by 6310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -2756\/3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1311, -5252, -11807, -20976, -32759, -47156?\nAnswer: -64167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50, -105, -160, -215?\n\"Answer: -55*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6461 is divided by 678.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 129\/(-11 + -1 + 1728\/(-32) + 63)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, -22, -60, -114?\n\"Answer: -8*p**2 + 2*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6765 less than -1315.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 49038952.933?\nAnswer: 49038952.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orw when three letters picked without replacement from {w: 2, y: 1, r: 7, o: 4}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 177352 (base 10) in base 15?\nAnswer: 37837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -503461, -503463, -503465, -503467?\n\"Answer: -2*w - 503459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -689, -694, -703, -716, -733?\n\"Answer: -2*g**2 + g - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a709 (base 14) to base 7.\nAnswer: 400012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q**3 + 7*q + 7. Suppose 118 = -23*t - 43. Let d(x) = -7*x**3 + 6*x + 6. Calculate t*d(b) + 6*w(b).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s - 21. Calculate g(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1987*s + 9908. Determine c(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/84 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8801, -3288, -15377?\n\"Answer: -12089*x + 20890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1172627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4441964*v - 43. Let i be u(-9). Suppose i = -3*o - 127122367. Round o to the nearest one million.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3830 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.118 - -0.109. Let p = d + 0.076. Let k = p - 0.235. What is k rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110110 + 11?\nAnswer: -10110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 - 26 = 14*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u - 3*b = -14, 0 = -2*b + 8. Suppose 3*h - 58 = -u*l, -l - 13 = -h + 8. Let m = -21 - -30. Solve -5*q + m = 5*a - 16, 4*a - h = -q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 738*z - 22766. Give a(30).\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23220002 (base 4) to base 8.\nAnswer: -135002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -795993302 + -0.47835.\nAnswer: -795993302.47835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = -0*l. Suppose 0 = 4*o + l + 2. Let w(q) be the second derivative of -5*q**3\/6 - q**2\/2 - 8*q. Give w(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39117 + -39085. Let g = 0 - -4. Sort 0.1, g, x in increasing order.\nAnswer: 0.1, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46757.\nAnswer: 46757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a9 + 32?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 451 and -2386.\nAnswer: -1935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -331 - -362. Calculate the highest common factor of l and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18107 is divided by 199.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 >= -0.926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101480, 204975, 308470, 411965, 515460?\nAnswer: 618955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - l + 18 - 2*l**2 + 14*l + 13 + 12*l to the form p*l**2 + f*l + b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b + 3*b - 4*b)*(-3 + 3 - 2*b) - 4*b**2 + 0*b**2 + 3*b**2 + 3*b**2 + 3*b**2 - 4*b**2)*(-3*b**3 + 0*b**3 + 4*b**3).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 7 - 6 - (3 + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 20 = 3*f - 32, 17*f - 41 + 2 = -5*j + 13*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**5 - 1094*o**4 + 150750*o**3 - 735250*o**2 + 1166848*o - 581256 = 0?\nAnswer: 1, 2, 243, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/27*2295\/(-204)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101 + 260. Let a = -388 + q. What is the smallest value in 0, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86177 and 546.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let d(m) = 4*m**2 + 2*m - 2. Let c(a) = 5*a**2 + 3*a - 3. Let u be (1\/2)\/((-4)\/(-24)). Let g(q) = u*d(q) - 2*c(q). Determine o(g(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21637998 by -7212666.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12493220.1 to the nearest one hundred thousand.\nAnswer: -12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 3*n**2 + 2*n**2)*(-n**3 + 3*n**3 - 3*n**3) - 60*n - 96*n**2 - n**5 + 48*n**2 + 2*n**4 + 49*n**2.\nAnswer: -9*n**5 + 2*n**4 + n**2 - 60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 261\/2 - 177\/2*q - 2*q**4 + 353\/2*q**3 - 433\/2*q**2 = 0.\nAnswer: -3\/4, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 + 122*r + 251. Let h be c(-2). Which is smaller: h or -224?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**4\/24 + 2*h**3\/3 - 3*h**2 - 25. Give n(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1777 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d + 80 = 19*d. Let c(i) = -i**3 - 2*i**2 - 5. Let f be c(-3). Determine m so that -43 + 9 - 16 + d*m - 2*m**2 + f*m = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:52 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -211369?\nAnswer: 63410.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y**2. Let w = 38 + -20. Let m(p) = -20*p - w*p + 40*p. Calculate m(c(a)).\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68315.\nAnswer: 5, 13, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 663250190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 + 19 = 14*q. Let p = 8 - q. Let s(z) = 11*z + 1. Give s(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -110100122020111?\nAnswer: 110100122020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1117, -9597, -23729, -43513?\n\"Answer: -2826*d**2 - 2*d + 1711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 20*k - 25. Let a be p(10). Suppose 2*l - 40 = -0*g - g, 4*g + 5*l = a. What is the remainder when g is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4121622462334 from -110.\nAnswer: -4121622462444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5505, 11009, 16513, 22017?\n\"Answer: 5504*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b + 3*p = -175, 100*b - 4*p + 35 = 105*b + 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3 = -2*p + 5*s, 2*s = -4*p + 6. Let n(y) = -3*y + 15. Let u(q) = -1. Let l(m) = p*n(m) + 5*u(m). Is l(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = -2*w, 4*w = 6*k - 3*k + 16. Solve -w = -3*c + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30c + -1?\nAnswer: -30d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeddddpdeed. Give prob of sequence de.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/2)*y\/(y\/y**(7\/3)))\/(y\/y**0*(y\/(y*y**(12\/11)))\/y))**16)**(3\/34) assuming y is positive.\nAnswer: y**(1036\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 397397.5 tonnes in grams?\nAnswer: 397397500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 + -113. Let d be 44\/(-198) + 14\/36 - (-1887)\/18. Put s, -3\/5, d, -0.5 in ascending order.\nAnswer: -3\/5, -0.5, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1008)*1 - -1*2*sqrt(1008) - (6*(sqrt(1008) - -3*2*sqrt(1008)))**2.\nAnswer: -1778112 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*u**5 - 529*u**2 + 981*u**5 - 21*u + 21*u wrt u.\nAnswer: 63360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 41 + -31 + 21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 2*i - 2, 4*i = -h - 4*h + 4. Let l be (h - -2)*24\/(-16). Let f = 3 - 0. Which is the smallest value? (a) -4\/9 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 14 = c - 2*s, c - s - 23 = 0. What is the remainder when c is divided by (-24*(-27)\/180)\/((-3)\/(-10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214879379 a multiple of 1414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2262593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 7268*r - 13205956.\nAnswer: -(r + 3634)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.207 - -233969\nAnswer: 233968.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {x: 5, e: 5, r: 4}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 502449 (base 15) in base 7?\nAnswer: 44224053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 16*c**3 + 18 + 6*c - 35 + 16. Is n(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 1, l: 2}. Give prob of sequence lx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03966597 - -0.0397. Round w to 6 decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -700*w**6 + 149*w**4 + 2*w**2 - 279450*w - 1.\nAnswer: -84000*w**3 + 3576*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d**3 + 53125*d**2 + 1353530*d - 457080 = 0. Calculate d.\nAnswer: -3516, -26, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)\/(b**(1\/6)\/b)*(b*b**(-2\/5)*b)**(-1\/58))\/((b**(-2\/21)*b\/(b\/b**(2\/3)))\/((b**(-7)\/b)\/((b*b**1)\/b))) assuming b is positive.\nAnswer: b**(-83833\/6090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/30)\/((-4)\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 1 + 5 - 2 + 0 in the form s*h + g + p*h**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -35. Let g be (-9)\/12*u\/9. Which is the closest to g? (a) 2\/15 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*v - 26, -3*a - 35 = -3*v - 26. Solve -199 + 205 = a*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13152761 and 64.\nAnswer: -841776704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -600 divided by -40\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2871 is divided by 258?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 1. Let g(k) = -23*k**3 - 1. Calculate -g(d) - 2*m(d).\nAnswer: 21*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1666?\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6*(-1)\/(-3). Let z = -13 + 18. Suppose -z*p - 2*l - 7 - 9 = 0, 0 = -2*p + 4*l - 16. What is the smallest value in 1, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -760 + 348838\/459. Let h = -370079\/134028 - -183\/73. Let j = h - d. Is -17 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 8 - 22 = -15*o, 3*t - 3*o = -6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66 by -2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28*-1*(-1)\/2. Suppose s = -2 + p. What is the highest common factor of 36 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {j: 8, k: 2, o: 1, c: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 45 = 5*p, -70*p + 78*p + 3*v - 52 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 5*m**2 - 10*m**2 - 40*m**3 + 2*m.\nAnswer: -40*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2. Let z(c) be the first derivative of 0*c**2 + c - 3 + 0*c**3 + 1\/6*c**4. Let s(h) be the first derivative of z(h). What is s(p(l))?\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2721, 5, -2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*l - 1)*(1 - 2 + 4)*(-3 + 3*l**2 + 3)*(10*l - 4 + 4) + 18*l - 18*l + 6*l**4.\nAnswer: -264*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**3)\/i)**(-29) assuming i is positive.\nAnswer: i**87","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -72. Suppose 3*n - 3*j = -45, 2*n = g*n + 2*j + 6. Is 1366\/4 + n\/24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2571777 (base 8) to base 10\nAnswer: -717823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5 - 20*u**4 + 80*u**3 + 290*u**2 - 801*u - 990 = 0. What is u?\nAnswer: -3, -1, 3, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2214165 (base 9) in base 11?\nAnswer: -743571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 293*j**2 - 12877*j - 661. Give l(44).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 5) to base 14.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121872657 and 2157.\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + n)*(-13*n + 51 - 51) - 3 - 4*n**2 + 4 + n**2.\nAnswer: -16*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 2 + 249\/(-120). Let c = 7\/8 + x. Let b = -4 + 5. Put c, b, -0.1 in descending order.\nAnswer: b, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = 36*p - 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35623, 35647, 35671, 35695?\n\"Answer: 24*c + 35599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(294) + 1*sqrt(294))\/(sqrt(60)\/sqrt(5)).\nAnswer: 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3371 divide 1919659231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 187721280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**6 - 2*q**2 - 3*q**2 + 4*q**2 wrt q.\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001155 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 395. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t**3 + 0*t + 0 + 44*t**2 - 1\/300*t**6 - 7\/150*t**5 + 0*t**4. What is m in n(m) = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -209*f**6\/15 - f**5\/10 - 115*f**4\/12 - f**3\/3 + 135*f. What is the third derivative of b(v) wrt v?\nAnswer: -10032*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/(6\/27). What is the second derivative of 5*v**3 - 3*v**3 - 5*v + 18*v + 11*v**t wrt v?\nAnswer: 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -11. Let x = -14 + 37. Let r be x\/5 - y\/(-15). Solve 20 = 4*p + 4*f, 4*f = p - r - 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) -1\/22 (c) -54 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0511458 times 0.4\nAnswer: -0.02045832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1245? (a) 1\/3 (b) -3\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (5 - -2) + 32 + -38 + 15\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 139861*q - 2937078. What is v(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4270 = 746*r - 16952 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 493*k - 170 = -469*k, -k - 102 = -3*s for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 3:36 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39.54283 - 39.49. Let f = -0.053 + r. Round f to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 0, w = 4*d - 3*w - 12. Let i be (0 - 2)\/1*-5. Suppose -2*u - d*u = -i. Solve -u*p - 25 = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69636 divided by -4974\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*c - 65350 = -16644, 4*c + 73057 = 3*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x + 10. Let s be ((-95)\/57)\/(1\/(-18)). Suppose 2*l + 5*t - s = -22, -t = -4*l + 38. What is r(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 163*o + 7*o - 23970. Calculate the highest common divisor of o and 7943.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in 2\/3, 0.05, 2, -1\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3664?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2023*q + 2005*q - 54 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 564.3536 + -564. Let u = k - 0.0536. Sort 5, -1\/5, u, -4 in descending order.\nAnswer: 5, u, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*((i*i\/(i\/(i**27\/i))*i)\/i)\/i*i*i**(-2\/13) assuming i is positive.\nAnswer: i**(362\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, w: 8, q: 2, z: 6}. Give prob of picking 2 z and 1 m.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 + 3 = -31*r. What is the fourth biggest value in -20, -4, r, -0.1?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 3*l**5\/10 - 7*l**4\/12 - l. Find the third derivative of u(o) wrt o.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 1 = -712*c + 708*c - 0, -c = -46*j - 46 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 112?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9179696 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*l - 124 - 2*l**4 + 316 + 34*l**2 - 152.\nAnswer: -2*(l - 5)*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -97*i**7\/42 - 29*i**3\/3 - 14*i - 3. Let w(l) be the first derivative of r(l). Find the second derivative of w(p) wrt p.\nAnswer: -1940*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.289638598 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g**2 - 41*g + 20. Suppose -8*a + 4*l = -5*a - 38, -a + 5*l + 20 = 0. What is the units digit of t(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7991278*l**3 + 11745845*l**2 wrt l.\nAnswer: -47947668","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105215468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30401, -60802, -91203, -121604?\nAnswer: -152005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = f - m, 16*f - 18*f + 6 = 4*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/(-9))\/((-16)\/(-12)). Let d be (-1939)\/12688 + 4 + (-200)\/52. Let a = d + -2011\/57584. What is the smallest value in a, 2\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.11, 0.3, 43 in increasing order.\nAnswer: -0.3, -0.11, 0.3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (((sqrt(1900) - (-1 + sqrt(1900) - sqrt(1900))*-5) + sqrt(1900))**2 - sqrt(1900)) - (0 + -2 + (sqrt(1900)*1)**2)*-4.\nAnswer: -210*sqrt(19) + 15211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -764, -4222, -12120, -26204, -48220, -79914, -123032, -179320?\nAnswer: -250524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1092, -4411, -9946, -17691, -27640, -39787, -54126, -70651?\n\"Answer: v**3 - 1114*v**2 + 16*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2728 divided by 88.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 665805 and 2932899.\nAnswer: 1745074905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/(1\/(-15)). Suppose m - 6*m + q + 6 = 0, -r*q - 5 = 0. Let d(h) = -h - 1 - 2*h**3 + 4*h - 2*h + 3*h**3. Give d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -k - 24, r - 3*k - 8 + 0 = 0. Suppose -s = 27*s - 224. Calculate the remainder when r is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -15, 72, -2 in ascending order.\nAnswer: -15, -7, -3, -2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 13*w**2 + 6*w. Suppose -22 = p - 3*s, 3*p = 4*p - 2*s + 18. Let g = p + 4. Give b(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -1\/16, 5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r**2 - 7*r**2 + 17*r**2 + 44*r**2.\nAnswer: 88*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(45\/54) + (-1491)\/(-315).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-10)*x*x*x*x*x*x\/(((x\/(x\/(x**(-5)\/x)))\/x)\/x)*x*((x\/(x\/x**(-1\/8))*x)\/x*x)\/(x**4\/x) assuming x is positive.\nAnswer: x**(23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1787, 3587, 5387?\nAnswer: 7187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = -7*y - 3*z + 17, -5*y - 3*z + 10 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168*y - 43*y + 7*y + (1 - 1 - 2*y)*(-4 + 0 - 1 + (-1 + 0 - 1)*(-3 - 1 + 3)) to the form q + t*y and give t.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.393, 1\/2, 3?\nAnswer: -0.393","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 716002*k**3 - 1431699*k**3 + 715821*k**3.\nAnswer: 124*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -16?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/12 + 7\/((-14)\/4). What is the closest to -0.1 in -0.2, -0.04, p?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 0.3, -596, 3, 0.4, -3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 352 + 110 = 0. Suppose 2*l = 4*y + 24, -2*y + 30 = 3*l - l. What is the highest common divisor of l and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145212683 divided by 7.\nAnswer: -20744669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = -o. Let c = 7 - o. Let j = c - -6. Calculate the remainder when j is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1406178 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19335343 divided by 463.\nAnswer: -41761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.22836ug to milligrams.\nAnswer: 0.09422836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2866*f + 2859*f - 11 + 6.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 3*q + 9, 2*k + 95*q = 91*q + 26 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 325278841 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -89 + 81\/9 + 9. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*n + 9, 3*n + 2*n + 2*h - 23 = 0. Suppose -5*r + 4*v = -104, n*r - 83 = r + 3*v. What is the lowest common multiple of (-117)\/(-6) + 1\/2 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 17878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168.136 - 0.136. Let g = s - 112. Let n = g + -53. What is the fourth biggest value in n, -3\/5, -2\/7, -0.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + -1*sqrt(126)\/sqrt(3) + sqrt(42) - sqrt(42))\/(sqrt(30)\/(sqrt(5) - sqrt(20))))**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/(-6))\/((-11)\/66). Let q be (-8 - d)*-3*-1. Solve j + q*j - 5*z = -7, 4*j = 3*z - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 7*d. Let c = d + 2. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4458611 and 0.2.\nAnswer: 891722.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 5*j + 2*j)*(-2*j + 2 - 2 + (-4 + 0 + 2)*(3*j - 2*j + j) + 9*j + 10*j - 35*j).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/4)\/(1\/71). Let t be (-1 - -51) + 6\/(16\/8). Let v = m + t. Which is the closest to 0.5? (a) v (b) 3\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7. Suppose 0 = 5*k + 60 - 85. Solve -k*t + l*t = 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-12\/5))\/d**(-1))**(-45) assuming d is positive.\nAnswer: d**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.323204 + -115.676735. Let f = -115.9 - 21.1. Let k = f - p. Round k to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56017896.\nAnswer: 2, 3, 11, 67, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -77, 4 in ascending order.\nAnswer: -77, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 86.19. Let n = 0.81 + d. What is the closest to 3 in 0.3, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 4*b**3 + 48*b**2 + 112*b + 64.\nAnswer: -4*(b - 4)*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 13*z - 9. Give c(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 312*r**5 - 15*r**4 + r**2 - 63005*r?\nAnswer: 6240*r**3 - 180*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 4)*(a - 4*a + 2*a) + 0 + 0 + 2*a + (3*a - 7*a + 8*a)*(4 - 2 + 1))*(-4 - 1 - 3)*(-6*a + 48 - 48).\nAnswer: 720*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5861.4853 rounded to the nearest one hundred?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - l - 863, 660 = 4*t + 4*l - 16. Suppose 6*d - 38 = t. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*n - 8 = 0, 3*n = -4*d + 2*n + 20. Suppose -5*t = -y + 3*y - 24, t - 8 = -2*y. Factor -3*f**2 + 2*f**4 - f**d + 2*f**t + 0*f**4.\nAnswer: 3*f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 9, m: 1, p: 1}. What is prob of sequence pkk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*m**3*s**2 + 108*m**3 - 5*m**2 + 613*m*s**2 + 5 wrt s?\nAnswer: 40*m**3*s + 1226*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 149*i + 108 - 149*i - 52 - i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*b**2 - 1 + 85*b**2 + 46*b**2 to c*b + p + r*b**2 and give r.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21202201210 - 20022?\nAnswer: -21202222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*r + 75*r = 260 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4785559\/60 - 79762. Find the common denominator of -97\/42 and l.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -24. Let d be -3 + (-9)\/(9\/(-14)). Let x = d + j. Which is the biggest value? (a) -1\/4 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*a - 110*a - 116*a + 196*a.\nAnswer: 59*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3692\/15 - -1174\/5. What is the common denominator of n and 2\/6 + (-561)\/(-72)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -2237?\nAnswer: -2237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3)\/d*d)\/((d*(d*d*d\/(d*d**(-1)*d))\/d)\/d))\/(d*d**(3\/4)*d**(2\/15)) assuming d is positive.\nAnswer: d**(-71\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3a9 (base 11) to base 8\nAnswer: -742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 11. Suppose -7 + g = 4*y. Let n(k) = 2*k**3 + 6*k - 1. Let o(v) = 7*v**3 - 7*v**2 + 23*v + 5. Let x(j) = -3*n(j) + o(j). What is x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 2 (c) 94\/13617\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*sqrt(1000))\/(sqrt(648)*4 + sqrt(648)))**2.\nAnswer: 80\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7007 - -14186. Which is greater: 7178 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfmgfggggssffgfmzsgs. What is prob of sequence szmz?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-50))\/((-12)\/60)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-778)\/(-15)*(-369)\/33. Let v = 580 + w. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) + sqrt(512)*2)\/sqrt(4).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - 2*o)*(-5*o**3 - 14*o**2 + 14*o**2)*(1789 - 1789 + 29*o).\nAnswer: 290*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 238 + 302 = 0. Suppose -75 - 33 = -4*n. Calculate the highest common divisor of i and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -423 - -426. Sort d, 4, -4 in decreasing order.\nAnswer: 4, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*c - 35552 = -28*c. Is 89 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*p + 129*p - 458784 = 0. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33945 divided by -3?\nAnswer: -11315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-1)*(-20)\/(-6). Let q be 3 + (3 - 8) - 3. Let v be 5\/2*(-4)\/q. Solve -4*j + l = 9, 3*j - 2*l + z = v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -3\/5 (c) 2\/43 (d) -0.2 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 125*h**3 - 2*h + 127*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6) - (-3)\/2. Suppose -5*o + 385 = k - o, 5*k - 3*o - 2040 = 0. Find the common denominator of l\/8 + k\/84 and 11\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6018\/736787?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -148, 4\/9, 0.35?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298594 divided by 149297.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - -24) + (32 - 18) - 28.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/((-3)\/(39*-1)). Let c = u + -20. Let w = c - 26. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 7:20 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 97730108 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/20 and -105\/8216.\nAnswer: 41080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {r: 2, c: 2, j: 7, o: 8}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/((-12)\/(-36)). Let d(i) = i**3 - 23*i**2 + 43*i + 4. Let r be d(21). Solve 2*t + 4*m - 21 = -f, -5*m = t - r for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (157 - 138) + 1 + -96\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.258 - -0.198. Which is the closest to -2\/11? (a) 3 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2143 + 2142.8. What is the nearest to 0.2 in 0.3, m, -0.3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j + 72. Suppose -12 = -5*l + j. Let x be l\/2 - 423\/135. What is the nearest to 1\/4 in 0.5, 1, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/56 + 15\/7. Which is greater: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6718 take away -0.530872?\nAnswer: 4.202672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1781119 + 3167519. Round m to the nearest 10000.\nAnswer: 1390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 32 - 16*v**4 - 21*v**4 + 17 + 5*v**3 - 4*v**3 - 25*v**4 as a*v + p*v**2 + g + w*v**4 + q*v**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 36 = 4*c. Put -2, -53, c in decreasing order.\nAnswer: -2, c, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 7*v**5\/20 - v**4\/12 - 4*v + 11. Let r(f) be the first derivative of y(f). Find the third derivative of r(z) wrt z.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64085331419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*t + 144*t - 527*t - 436*t - 120*t.\nAnswer: -807*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*m + m - 5*w, -2*w - 12 = -3*m. Suppose 3*a - m*a = 0. Suppose a = 3*x + x - 16. Solve x*i - 15 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106 - 0.97.\nAnswer: -106.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -33*i**2 + 20*i - 20. What is p(1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-8))\/((18\/(-20))\/9). Suppose -n*m = -20, y - 4*m + 3*m = 5. Suppose 0 = p + 1 - 37. Calculate the greatest common factor of p and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165630419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5\/3)\/s)\/(s\/(s**(4\/5)*s)))\/(s**(2\/61)*s**19) assuming s is positive.\nAnswer: s**(-19123\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-1360)\/(-102)*(-12)\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -26. Let s be -3 + (-19)\/(-3) + p\/6. Find the third derivative of -32*t**2 - 17*t**s - 3*t**3 + 8*t**2 - 29*t**3 wrt t.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -20013?\nAnswer: -20014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 6 = 22. Let d(u) be the second derivative of -1\/15*u**6 + 0 + 0*u**2 - 1\/10*u**5 + 1\/3*u**3 - 2*u + 1\/6*u**k. Determine m, given that d(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, z: 11}. Give prob of picking 4 l.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + 855607?\nAnswer: 855621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than or equal to 231125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*q + 1300 = -36*q + 105*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0*m**3 - 1 - 1 + m**3 - m**2 + 2*m + 0*m**2. Let z be a(2). Differentiate -3*t**4 + z - t**2 + t**2 with respect to t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 37*a**2 - 10320*a + 7. Let d(w) = -21*w**2 + 5160*w - 4. Give 7*d(g) + 4*t(g).\nAnswer: g**2 - 5160*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.975 and 2.9169?\nAnswer: 32.0129775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0173162um?\nAnswer: 0.0000000000173162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3264, -6611, -10056, -13611, -17288, -21099, -25056, -29171?\n\"Answer: -2*t**3 - 37*t**2 - 3222*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 120*j**2 + 13646*j - 17722. What is h(-115)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14314293533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.675555l to millilitres.\nAnswer: 4675.555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 a factor of 44495120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 26*m + 3*m + 9*m + 9*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7947?\nAnswer: 3, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 4*u + 294 = 0. Let c = u + -47. Sort c, 2, 3, 1 in ascending order.\nAnswer: c, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, -4, 11, 20, 0, 4, -66.\nAnswer: -66, -4, 0, 4, 11, 20, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, -1.1, -0.4 in ascending order.\nAnswer: -1.1, -0.4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + -4 + sqrt(2448)*-3*-3).\nAnswer: -20 + 540*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 10*g - 9. Let l(m) = m**3 - 6*m**2 + m. Let s be l(6). Let b be t(s). Suppose -4*q = -41 - b. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12593002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 446717.457 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -81.\nAnswer: -5\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o. Let h be k(1). Let q(f) = 8*f - 480 - 485 - f**2 + 1440 - 482. What is q(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 543.1055 to 1 dp.\nAnswer: 543.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 521310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:50 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38044372 is divided by 235.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbdp when four letters picked without replacement from {p: 1, s: 1, c: 1, d: 1, b: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 324 = 72. Suppose -5*y = -t - 819, 2*t - j = -y + 100. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r\/(r\/(r**(-3\/2)\/r))*r*r)\/r*r)**(-42) assuming r is positive.\nAnswer: r**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3016 and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -588 + 9\/2*y**3 + 195\/2*y**2 - 819*y = 0. Calculate y.\nAnswer: -28, -2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpppxpx. Give prob of sequence xxp.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by -65.\nAnswer: -163\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 5 - 4 + 0. Let m = -29 - -28. What is f(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -23*w**3 - 3*w**2 - 4*w - 2. Let b be m(-1). Calculate the greatest common divisor of b and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/137 (b) 5\/21 (c) -1 (d) -2 (e) 2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 8. Let t(d) = 28*d**5 + 45*d**4 + 24*d**3 + d**2 + 3*d. Let g(h) = -h**5 + h**2 - h. Let r(v) = k*t(v) + 12*g(v). Factor r(s).\nAnswer: 4*s**2*(s + 1)*(5*s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 14*q + 285. Let i be (20\/q - 1\/3)*20. What is the second derivative of -19*b**5 + i*b + 6*b - b wrt b?\nAnswer: -380*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 150736 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2 - 6 = 0, 3*v + 30 = 4*t. Suppose t*o - 12*o = -15. Let m(s) = -2*s. Let g(f) = 4*f. Determine o*m(x) + 2*g(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*p - 930 = 0, -5*p + 1264 = -3*v + 328. Let a = v + 870. Suppose -2*y + y = 4*b - 105, -5*y = b - a. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1278*f + 227. Calculate the remainder when c(0) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -7267, 5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 15 - (-39 + 24)) + -37?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 392+0.21\nAnswer: 392.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(2 - -1))\/1. Suppose b = -0*s - 4*s + 200. Let z = s + 17. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3842617 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (5 - (-8)\/14). Let z(o) be the first derivative of o**4\/4 - o**2\/2 + o + 11. Let r be z(0). Which is the nearest to -0.1? (a) r (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-5) - 4\/(-5). Let o be ((-3 + 2)*t)\/(-2). What is the nearest to 0 in o, 4\/7, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147\/(((-12)\/(-7))\/((-2984)\/5222)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*m = 675*m + 1045*m + 59760 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftfo when four letters picked without replacement from {k: 2, t: 2, u: 1, g: 1, f: 7, o: 2}.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-4) - (-8 - 40\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - ((-1 - -18) + (-65 - -37)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/6957 and 73\/80392?\nAnswer: 723528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14154 and 896.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -354 - 3?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**5\/390 + 46*z**4\/39 - 8464*z**3\/39 - 5*z**2 + 37*z. What is x in a(x) = 0?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 2*t - 3. Let q be r(-2). What is the first derivative of 3*d - d - 2*d - q*d**2 + 24 wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -3.8. Let f = y - -8. What is the nearest to 0 in f, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 4\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1318, -2628, -3938, -5248, -6558?\nAnswer: -7868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/4 - 40*v**2 - 77*v + 316 = 0. Calculate v.\nAnswer: -158, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 10. Let n(q) = -1. Let r(i) = -4*n(i) + u(i). Differentiate r(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-654)\/((2*(-6)\/(-15))\/((-54)\/45)).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -450, -426, -384, -318, -222?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -6. Is j + -2 + 0 + 180 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 718?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -35. Let x be k\/(-4)*16*7. What are the prime factors of (-7 - -9) + (1 - x)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.02\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 17*u**3\/3 + 5*u**2\/2 - 12*u. What is the units digit of j(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-5)\/((-40)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) 0.3634 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/52 + 184\/(-13). Is 36840\/70 + 4\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3986 - -3990. Let j(d) be the first derivative of 0*d**3 + 0*d**2 + 0*d + 1 + 1\/4*d**4. Let q(i) = -3*i**3. What is k*j(p) + q(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96176 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1173 (c) 46 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/4 (b) 1\/3 (c) 78 (d) 1\/6 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from aqhhvccq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7896.603l to millilitres.\nAnswer: 7896603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-16)\/r*r*r**(-3\/28))\/(r*r**(-6)*r**(-40)) assuming r is positive.\nAnswer: r**(809\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*f**5\/7 - 1342*f**4\/7 + 8758*f**3\/7 - 16962*f**2\/7 + 1116*f = 0. Calculate f.\nAnswer: 0, 2\/3, 3, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14406107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000582895 to 7 dps.\nAnswer: -0.0000583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18425978072753774 - 18425974677703777.9999422. Let j = 3395050281 - h. Let o = 285 - j. Round o to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 9) to base 11.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*s + a - 19, 5*a = 15. Find the second derivative of 1 - 81*u + 115*u**3 - 7*u**2 - s + 18*u**2 - 12*u**2 wrt u.\nAnswer: 690*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20988734 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/3 + -1 + 4. Let m(z) = 10 + 2*z**2 + z**c - 3*z**2 + 8*z - z**2. What are the prime factors of m(8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -3) + (-1 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 32*d + 2. Let r be u(-32). Suppose 0 = 3*x - h + 5 - 34, x - 3*h - 7 = 0. Solve 0*n + 5*l + x = 5*n, 0 = r*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-161*l - 72*l - 36*l - 129*l)*(5*l - 2*l + 0*l)*(-2*l**2 + 0 + 0) to the form v*l**2 + o*l**3 + f*l**4 + q + g*l and give f.\nAnswer: 2388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 229277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10*2)\/(((-546)\/(-1400))\/39)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -83 - (8\/(-2) - -1). Let q = 152 + y. Calculate the highest common factor of 18 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*sqrt(153)\/(sqrt(9) + sqrt(18)\/sqrt(2)).\nAnswer: 1 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -357553?\nAnswer: -5\/357553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141 - -230. Let i = -85 + o. Solve i*u + 2 - 1 = -3*m, -5*m = 4*u + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -187*w + 75. Is s(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/5675 - 11356\/17025. What is the nearest to 1\/2 in a, -3, 2\/5, 11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 2*h**2 + h - 3. Let j be i(-3). Solve j*q - 4 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52421461 - -2?\nAnswer: 52421463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-36) - (898485\/108)\/(-7). Let k = p - 1207. Let g = -2426 - -4763\/2. What is the common denominator of g and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 - 56 = -5*z. Suppose 11 - z = -5*o. Let p(a) = a**2 - 4*a + 3. What is the units digit of p(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.2 in 4\/15, 4, -0.1, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 - 5306\/(-210). Let y = 1009\/40 - h. Which is the nearest to 1? (a) y (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - u - 1. Let c be r(3). Let i(v) = -2*v + 39. Suppose -19 = -374*h + 373*h. Let y be i(h). Solve c*k - 9 = y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20213130 (base 5) to base 2\nAnswer: 100111111011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*y + 2 = 2*y, 4*y = 3*g + 7. Let j(s) = -279*s**2. Let q(x) = -93*x**2. Let r(h) = 2*j(h) - 7*q(h). Is r(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0*o - o)*(-5 + 1 + 2) + (-3 + 2*o + 3)*(-2 - 3 + 3) - 4 + 4 + o + (3 - 4 - 4)*(126 - 126 + 21*o).\nAnswer: -112*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26.8959501 seconds?\nAnswer: 0.00031129571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150442651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(10)\/sqrt(2) + 2*(0 + sqrt(180) - sqrt(180)).\nAnswer: -6 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/151, 5, -1.1 in descending order.\nAnswer: 5, -2\/151, -1.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 381829297 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/5 and 75\/235238.\nAnswer: 1176190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -223 and 1640.\nAnswer: -365720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, 2, 68, -1.47, -2\/3, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2. Let y(i) be the first derivative of -5*i**3\/3 - 2173. Calculate m(y(j)).\nAnswer: 50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-55) + (-2)\/(-5). Let d be 7\/((-28)\/16) + -4. Let m = -8 - d. Which is the third biggest value? (a) m (b) 1\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**3 + 6*s**2 - 4. Let h(g) = 4*g**3 - 7*g**2 + 4. Let l(b) = 2*h(b) + 3*i(b). Calculate l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 6)*(9 - 513*n - 5 - 4).\nAnswer: 1026*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - o**2 + o. Let j be w(-2). Suppose 354 = 5*v + j*b, -v = -0*v - 2*b - 78. What is the greatest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k - 3*k - 5*k - 4*k + 2*k. Let c(f) = -43*f - 11. Determine a(c(d)).\nAnswer: 86*d + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36 + 33*j - 81*j + 2*j - 64*j wrt j?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 56. Suppose m = 3*r + 5*p, 2*p + 1 = -2*r + 3*r. Calculate the remainder when 70 is divided by (37\/r)\/((-2)\/(-6)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5254 (base 13) to base 15.\nAnswer: -3597","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 12*p - 21*p. Sort -3, 5, 2, p.\nAnswer: -3, p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 24*j**2 - 25*j - 1. Let s be p(25). Let k(i) = 33*i**2 + 1. Calculate the remainder when 91 is divided by k(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 435390 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 673801887 + -4?\nAnswer: 673801883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 30*p**3 - 3 + 62*p**3 + (7*p + 6*p - p)*(-2*p + p - p)*((-p - p + 4*p)*(0 + 5 - 6) - 3 + 3 + p).\nAnswer: 56*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**4 - c**3 + 7276290*c + 20044924.\nAnswer: -8*c**3 - 3*c**2 + 7276290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**4\/6 + 13*j**3\/3 + 5*j**2. Let v be q(-6). Solve -15 = -v*h - 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/48*14*-6. Suppose -4*z + c + 34 = u, 4*u = 16. Let h(i) = -11*i. Calculate the smallest common multiple of h(-1) and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*a**3*v + 4*a**3 + 67*a**2*v - 1541*a*v + 2*v wrt a.\nAnswer: 42*a*v + 24*a + 134*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*f - 32*f = -6. Solve -8 = -2*q + 4*m, -3*q + f*m + 7 = m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a year in months?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 2*v**4 - 68*v - 81*v**2 + 33*v + 24 + 37*v to the form d + s*v + n*v**2 + a*v**4 + g*v**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1108 - 298 = -90*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 12 = 2*v. Suppose -3*w - 17 = v*y - 4*w, 2*y = 4*w + 2. Let a(h) = -h**3 - 7*h**2 - 5*h + 7. Does 11 divide a(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 240.99 and 0.3.\nAnswer: 241.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - s + 0)*(-1 + 0 + 4)*((0*s + 2*s + 0*s)*(s - 2 + 2) - 2*s + 2*s + s**2) to o*s**2 + u + d*s**3 + t*s and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 44) + 8 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 23\/4 + 72\/(-96). Suppose 0*x = -x - 3*u + 655, 3224 = i*x - 2*u. Is x a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-756364)\/1816 - -309)\/(0 - (-5)\/(-4))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 108 + 402. What is z rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 1:59 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4480\/(-1456) - (2*-2 - -1)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -2 in increasing order.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9853 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -45. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 2*q. Let r(y) = 7*y**2 - 2*y - 22. Let k(m) = -r(m) - 4*t(m). What is k(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29 * -0.859653.\nAnswer: -0.24929937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9 + 15*x + 36*x**2 - 31*x - 20*x - 15*x**2. Let w(t) = 5*t**2 - 9*t - 2. Let r(k) = 2*u(k) - 9*w(k). Factor r(j).\nAnswer: -3*j*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26730 by 3.\nAnswer: 8910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.3688096 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00149574 to six decimal places.\nAnswer: 0.001496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2, 0, -668, 126 in decreasing order.\nAnswer: 126, 2, 0, -4, -5, -668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2 - 2*f**2 + 0*f**2 - f**2 - f + 39*f**3 - 51*f**3. Let a be b(-2). What is the greatest common divisor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -65 - 23. Let s = l - 1. Suppose -3*j - 4*d = -0*d - s, -4*j = -3*d - 53. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 10*m - 7. What is n(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -11, -8622 in increasing order.\nAnswer: -8622, -11, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -3 (c) -1\/6 (d) 1 (e) -5 (f) 3\/7 (g) -6823498\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.677041 to two decimal places.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i + 15. Let t(o) = 2*o - 4. Suppose 0*k + k - 5 = 0. Suppose r + 21 = k*h, 5*r + 21 = -4*h + h. Calculate r*g(l) - 22*t(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 284033081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q - 904 = 2*l, 9*l - 5*l + 20*q - 17*q - 88 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -333151400 divided by -3\nAnswer: 333151400\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*l - 2901 = 0, l - 4780 - 9773 = -5*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41270 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -31. Suppose i - j = 3*v - i, v - 14 = -3*i. Let s(p) = p + v*p - 5*p. What is s(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -182*t**2 - 207*t - 28. Let p(o) = 91*o**2 + 103*o + 16. Let f(d) = -7*p(d) - 4*y(d). What is the second derivative of f(z) wrt z?\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2297, 2, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -16. Which is greater: b or 3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*k - 94519 + 238231, -5*q - 5*k = -359350. What is the ten thousands digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -826500 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 3. Let k be y(7). Suppose -3*d = k + 5. Let s(j) = 9*j + 49. Let u be s(-6). Which is bigger: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3823 - -4215. Calculate the least common multiple of 560 and t.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1536667676 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 22 = -2*w, -3*k + w - 212 + 200 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2 + 9 + 6 - l - 1. Let t = -8 + 12. Suppose 0 = -t*q - 2*q + 54. What is s(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 83 and 53.\nAnswer: 4399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.208, -357, -2\/7 in descending order.\nAnswer: 0.208, -2\/7, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssps when four letters picked without replacement from spstpss.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*r - 2 = -b, -3 = -3*b + 2*r. Let f(a) = 54*a - 1. What are the prime factors of f(b)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13178 in 3, -10\/3, 0.4, -5, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/225 and -2\/585.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n + 7. Give b(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 5*p + 7. Let b be z(-5). Solve 0 = -0*c - b*c + 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40579746.\nAnswer: 2, 3, 233, 29027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1500 divided by 4?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*j**4 + 2*j**2 + 44.\nAnswer: -44*j**3 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -29.8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1, -584.\nAnswer: -584, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.002, 9 in decreasing order.\nAnswer: 9, 2\/13, 0.002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 41*z**3 + 3*z**2 + 14. Let f(q) = 23*q**3 - 2*q + 7. Let s(d) = 90*d**3 - d**2 - 9*d + 27. Let j(u) = 9*f(u) - 2*s(u). What is 8*j(i) - 5*k(i)?\nAnswer: 11*i**3 + i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**5 + 33*b**4 + 72*b**3 - 108*b**2 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/8)\/u**(-2\/9))\/(u**6*u\/(u**2\/u))*(u\/((u*u**(-1))\/u))\/u*u\/(u*((((u\/((u\/(u*u\/u**8*u))\/u))\/u)\/u*u*u)\/u)\/u*u)*(u\/u**1)\/u**5 assuming u is positive.\nAnswer: u**(-371\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 8 = -0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 + 26*j + 89. Let p be n(-4). Suppose 0*d - 13 = -d. What is the highest common factor of p and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {e: 3, q: 2, w: 2, l: 1, s: 4, a: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2114 + 826 = 0. Suppose -2*y = -3*y + 4*i + 197, -2*y = 5*i - f. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.1 + 37.9. Let p = n + -50.146. Round p to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 + 871*u - 2243. Let f(v) = -37*v**2 + 7838*v - 20177. Let w(h) = 2*f(h) - 19*o(h). What is the derivative of w(y) wrt y?\nAnswer: 4*y - 873","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3449743858?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = 8. Let a(f) = -5*f**2 + 3*f**t + f**2. Let m(z) be the first derivative of -z**2\/2 + 3. Give a(m(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) 3 (c) -0.3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 221527 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 8*u + 4. Calculate q(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 51*f**2 - 1171*f - 16. Let b be x(23). Let l(c) = -c**3 + 30*c**2 + c - 28. Give l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + t + 4)*(-3*t + 3*t + t**2) + 152*t**3 - 582*t**3 - 63*t**3 + t to z*t + a*t**3 + o*t**2 + y and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 2. Let o be q(-6). Let m be (o\/(-5))\/(12\/(-30)). What are the prime factors of 2\/m - 1460\/(-35)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-2 - -6 - 6 - (29 + 8))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/11)\/(l*l**11\/l)*(l*l**(-2\/7)*l*l)**(2\/3))**(-1\/52) assuming l is positive.\nAnswer: l**(173\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 26. Let o(l) = 98*l - 6. Let y be o(1). Suppose -p = 3*q - v, -2*p + q = 3*q - y. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/3 - (-2 + 2). Let d = l - -1. Find the second derivative of 0*y**3 - 2*y - y**3 - y**d wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/9 (b) 67 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34823, 34795, 34763, 34739, 34735?\n\"Answer: 2*c**3 - 14*c**2 + 34835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, l: 1, u: 4}. What is prob of picking 2 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**4\/8 + 7*b**3\/3 + 8*b**2 - 42. Let n(q) = 14*q - 2. Calculate n(k(g)).\nAnswer: -42*g + 194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16553225*y**4 + 395153580?\nAnswer: -66212900*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 3. Suppose 3*y = a*y - 12. Suppose -y*f - 5999996 = -2*l, 3*l - 2*l = 4*f + 7999998. Round f to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1007f0 + 0?\nAnswer: -1007f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 15 - 15. Solve -2*d = 2*d - c + 24, k = 4*d + 5*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(15*(-31)\/15345).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64.548 and 324?\nAnswer: -20913.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28728937, 28728943, 28728949, 28728955?\nAnswer: 28728961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*1 - (0 + -2). Suppose -2*v = y - 59, -y - 146 = -j*v - 4*y. Suppose -4*c + 5 = -v. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h - 4*h - 2*h + 9*h as m + p*h and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3\/8 - 7854*o**2 - 1127697*o\/2 - 6355524 = 0. What is o?\nAnswer: -20872, -58, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915368833 to the power of 1\/3, to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 217 + -155. What is the remainder when (5 - 34)\/(2\/34*-1) is divided by i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -536992410.85749+4\nAnswer: -536992406.85749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13640?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*r**4 - 1274*r**3 - 1007*r**2 - 1282*r**3 + 3831*r**3 - 1275*r**3 in the form m*r**3 + y*r**2 + z*r + p*r**4 + t and give y.\nAnswer: -1007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43174 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 4. Let j(v) be the first derivative of -v**2 + 18*v + 18. Let k be j(9). Solve k = -f - y*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 558 and 198.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.74 minus 60.67?\nAnswer: -95.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.61 + -151.39. Let g = k - -153.87. What is g rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33302577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1621 + -1605. Solve 5*a + t = r, 5*a - 3*r + 9 = -9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and -257?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(2) - -1*sqrt(98)))**2.\nAnswer: 13\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 30. Suppose -c*n - 340 = -7*n. List the prime factors of n.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 38, 2, -1 in ascending order.\nAnswer: -6, -3, -1, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1050.041 tonnes?\nAnswer: 1050041000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31\/(-6) + (-65)\/(-390). Let d be ((-9)\/j)\/(6\/10). Let f(p) = -6*p**2 + p - 3. Let k(l) = 5*l**2 - l + 2. What is d*k(a) + 2*f(a)?\nAnswer: 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2240780 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47800 by -5.\nAnswer: 9560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -175*w**2\/2 - 1538. Let t(q) = q**2. Determine t(z(l)).\nAnswer: 30625*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/42 + (-80)\/14. What is the units digit of (-4)\/6 + (-220)\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g*((g**(-2\/5)*g)\/g)\/g)))\/g)**(-8\/5)*(g*g\/g**(-1))**25)\/(g**(-2)\/((g\/(g\/(g**(-4)*g)))\/g))**(4\/13) assuming g is positive.\nAnswer: g**(24903\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3 + 122\/3*i**2 + 56*i**3 + 24*i**4 + 28\/3*i = 0. Calculate i.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -24?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28401960?\nAnswer: 2, 3, 5, 19, 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -47*c - 165. Let l(d) = 16*d - 2. Determine l(r(b)).\nAnswer: -752*b - 2642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -129 + (32 - -30).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-seven fifths of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 320036*o + 320052*o - 640088*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -85362, -85596, -85978, -86502, -87162, -87952, -88866, -89898?\n\"Answer: m**3 - 80*m**2 - m - 85282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 503209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 2*s + 2*s)*(18 - 20 - 42) + (-4*s**2 - 3*s**2 + 5*s**2)*(-4 + 3 + 0).\nAnswer: 46*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.447807905 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30054 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12077.92 + -12078. What is the closest to -1 in o, -2\/95, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1. Let o(u) = 5*u. Let p(x) = 4*x + 3. Let v(d) = 3*o(d) - 2*p(d). Calculate 6*m(f) + v(f).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = a - 2*a. Suppose 0 = m - 4, -m + a*m = c - 67. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -175, -326, -477?\n\"Answer: -151*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktjk when four letters picked without replacement from kalrktjttjtjrkkkkkkj?\nAnswer: 112\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -31, -73, -153, -283, -475, -741?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*f - 32*f + 714 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-160)\/25 + 7 - 1. Let t = -1 - -1.1. What is the closest to y in -0.4, -5, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10067531 to the power of 1\/2, to the nearest integer?\nAnswer: 3173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 4:56 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -11021222000?\nAnswer: -11021221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 16*h**2 + 16*h + 14. Let j be p(-15). Let u be 25\/((6\/2 + j)\/12). Suppose 159 = o + 2*o + s, 3*o - u = -4*s. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 557, 528, 493, 452?\n\"Answer: -3*k**2 - 20*k + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -8*f**2 + 733*f + 3*f**2 + 747*f + 570 - 1655*f = 0.\nAnswer: -38, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + 1 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/65 + (-19868)\/2002. Let w = a - -114\/11. What is the nearest to 0.1 in -5, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - 44*j**2 + 112*j + 74. Does 26 divide m(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1\/4, 194 in decreasing order.\nAnswer: 194, 17, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 167400 and 38050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 393046 to the power of 1\/2, to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39840 - 15679 = 2*m - s, -4*s = m - 12058. Suppose 6*l - m = -5*l. List the prime factors of l.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.022099239 + -0.0221. Round w to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfq when three letters picked without replacement from {f: 4, q: 4, o: 2, h: 2, e: 1}.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y - 36*y - 35*y - 37*y - 85*y + 222*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121\/2 + 61. Which is bigger: c or -9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/12 + 4)*8. Suppose l = -r + 6. Which is smaller: -1\/4 or l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 311.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44808 + -44741. Calculate the remainder when 191 is divided by o.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2*i)*(17 + 25 + 11) - 3*i + 0*i + 2*i)*(7 - 7 - 2*i) + (-2*i + i + 2*i)*(0 - 3*i + 0).\nAnswer: 211*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-2))\/(12\/20)*1. Let p(l) = a + 0*l - 6*l - 1 - 2. Let h(f) = -f. Calculate -3*h(g) + p(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -3. Let l(y) = y**3 + 48*y**2 + 48*y + 50. Let s be l(-47). Let n(c) = 23*c**2 + 8*c - 8. Let d(o) = 8*o**2 + 3*o - 3. Give p*d(b) + s*n(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011975 to four dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -168 divided by -42\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 13) to base 9\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -7. Let y be (-12)\/(-8)*(-48)\/9. Calculate the remainder when (y\/12)\/((-1)\/72) is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 10:16 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 43*c**3\/3 + 2*c**2 + 7*c - 14. What is the tens digit of o(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 348*f + 21221. Give g(-61).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = r - 8, -5*l = -l + 5*r + 16. Let s = 21 - l. Calculate the highest common factor of s and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuzuyppuupuuztn. What is prob of sequence unt?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 156*q**2 - 158*q**2 - 4*q**3 - 2158*q + 2157*q. Let h be (-1 - -1) + -2 + 1. Give r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -33. Let i be -14 + 0 + (-2)\/1. Let j = u + i. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-108)\/(-7))\/12)\/((-8)\/50*(-45)\/42)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/7000 and 71\/316000?\nAnswer: 2212000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15e (base 15) to base 14\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*z - 135*z = -2408. Suppose -32*n + z = -31*n. List the prime factors of n.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951 - 66051 = 930*o for o.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -54*z**2 - 110*z + 2. Determine w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 46*p - 39. Let f be n(-22). Suppose -4*b + 3730 = f*s, -3*s - b + 6*b = -2275. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13422, 13421, 13420, 13419?\nAnswer: 13418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1870 divide 40579000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4 - 3*a)*(7*a - 4*a + 4 - 2*a).\nAnswer: -3*a**2 - 14*a - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 296 + 588 + 14*d**2 - 292.\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a56 - -312?\nAnswer: -744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1992 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -26*v + 37. List the prime factors of p(-10).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5814 - -5852. Calculate the remainder when 82 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 9*m**2 - 4*m + 28. Determine b(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/3 - -11\/6. Let n = 1.1 + -11.1. Let j = n + 7. Sort r, j, 0.1 in descending order.\nAnswer: r, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 16 = 0, 0*k + 1 = 3*o + 2*k. Suppose -3*w = -8 + 2. Let d be (-3 - -2)\/w*-12. Solve -d = -o*z + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4298 + 0.49526. What is x rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/6*(-24)\/20. Solve 7 = 5*s - y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + g**2 - 3*g - 3. Let c be l(-1). What is the nearest to 1 in 3\/4, c, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93 and -2.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k. Let q(b) = -8*b - 5. Let m(f) = 35*f + 21. Let r(u) = -5*m(u) - 21*q(u). What is 6*p(v) - 5*r(v)?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.165789 to two dps.\nAnswer: -19.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0.6. Let k = r - -3.4. Let n = k + -3.2. Which is the biggest value? (a) n (b) 1\/8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 1. Suppose 4*n + 1 = 5*n + w, -5*n - 35 = -5*w. Let c be d(n). Let p(g) = -g**2 - 6*g - 5. What is p(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -3\/5 (c) -0.8 (d) 1 (e) 2 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:14 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10386711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03692*-1577.\nAnswer: -58.22284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**6\/105 - r**5\/10 - 3*r**4\/7 - 20*r**3\/21 - 8*r**2\/7 - 10*r. What is o in s(o) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19877, -39770, -59663, -79556, -99449, -119342?\nAnswer: -139235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77676 is divided by 593?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - (4*(2*sqrt(88) - sqrt(88)) + sqrt(88)))\/sqrt(4))\/(3*(-1*sqrt(1100) + sqrt(1100)) + sqrt(1100))*-3)**2.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 270 = 14*y. Suppose 3*p = -3*p + y. Suppose -p*g = -5*g + 12. Solve -3*t = -2*r + g, 4*r - 5 = 5*t + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46381?\nAnswer: 46381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -134, -80, 24, 196, 454, 816, 1300?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 5*c - c - 1 + 1 - 4*c + c - 5*c + 3*c + 2*c - 2 + 2 + (-2*c - 2 + 2)*(-1 + 0 - 1))*(2*c - 4 + 4 + c**3).\nAnswer: 5*c**4 + 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/6 + 341*k**2\/6 + 20800*k\/3 + 183750.\nAnswer: -(k - 441)*(k + 50)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27885 divided by 5.\nAnswer: 5577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h**3 - h - 1. Let x(t) = t + 2. Let d be x(-3). Let v be q(d). What is the lowest common multiple of 84\/8 + (-3)\/v and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(36)*3)\/((1*sqrt(4))\/sqrt(2)).\nAnswer: -1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3\/7 - 846*m**2\/7 - 843*m\/7 = 0. Calculate m.\nAnswer: -281, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 646300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 6. Let j be n(-2). Let t(k) = -2*k**3 + k + 2. Let s be t(-2). Suppose 26 + s = 3*g. Sort g, -4, j in decreasing order.\nAnswer: g, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 15 - 8)*(0 + 3 - 2)*(3*y + 3*y - 5*y)*(2 + 1 + 4).\nAnswer: -112*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, 20, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 6*b**2 + 6. Let g be a(6). Suppose -w - 3*w = 0. Suppose -o - 4*o = w. Solve o = -0*q - 2*q - g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.2 - -30. Let m = 0.2 - 0.1. What is the nearest to m in b, -0.5, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001000 - 111?\nAnswer: 11000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 1. Let b(s) = -69*s**2 + 4. Determine -5*b(j) - 20*u(j).\nAnswer: 325*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -11011001?\nAnswer: 11011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 886921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a factor of 808672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1. Let m(g) = -6. Let c(w) = 5*d(w) + m(w). Let n(h) be the second derivative of h**3\/3 + 3*h**2 - 6*h + 15075. Calculate c(y) + n(y).\nAnswer: 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2642888 + 0.2627. What is g rounded to five decimal places?\nAnswer: -0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(7\/4)\/(c**2\/c)*(c**(3\/2)\/c)\/(c\/c**(-2\/9)*c)*(c**(-2\/7))**40*c**(-5)*c*c*c*c\/(c*c\/(c\/c**(-1\/8))*c*c)*c assuming c is positive.\nAnswer: c**(-7699\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -1 - (-2 - 92). Let x = 86 - d. Which is smaller: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56, 270, 854, 1994, 3876, 6686, 10610?\n\"Answer: 31*c**3 - c**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (-52 - -66).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/((a\/(a*a**(-8)*a))\/a)*a))\/a**(2\/3))\/(a*a\/(a\/a**(1\/3)))**(1\/62))\/(a\/(a*a**12*a)*a**11)**35 assuming a is positive.\nAnswer: a**(6911\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 159*b**3 + 31*b**3 - 15.\nAnswer: -128*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:12 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -582, -584, -612, -666, -746?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**3 + 6023183*s**2 + 108273*s + 1 wrt s.\nAnswer: 6*s + 12046366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3679479 to the power of 1\/2, to the nearest integer?\nAnswer: 1918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/2, -11, -26, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 2279?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((4*sqrt(171)*-2 - sqrt(171))\/((sqrt(252)\/sqrt(4))\/sqrt(7)) + -3)**2 + 4.\nAnswer: 54*sqrt(19) + 1549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -4. Let a be y*(4 - 2)\/(-2). Let f = -2 - a. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1155?\nAnswer: 1\/1155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, 28, 42, 58, 76, 96, 118?\n\"Answer: x**2 + 9*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.074, -2\/17, -2\/87?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-88)\/32 + 2)*-11 - 16).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**6\/480 - b**5\/240 + 5*b**3\/3 + 4. Let g(t) be the third derivative of j(t). Factor g(o).\nAnswer: o*(3*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 13*o - 40 = 7*j, o = -j - 12 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 381\/4 - 2643\/28. Suppose -3 = -u + 10*m - 11*m, 5*m - 11 = -4*u. Factor -2\/7*k**u - p*k**2 - 6\/7*k**3 - 2\/7*k + 0.\nAnswer: -2*k*(k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151140 divided by 12?\nAnswer: -12595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p - 56. Suppose -3*h + 10 = -c, 4*h + 0*c = 4*c. Suppose 6 = -n - 2*n, h*n = 3*v - 388. What is the greatest common divisor of v and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i - 1. Let x(l) = -l**2 + 2*l - 5. Let j be -14 - -14 - 2\/(2\/1). Let q(o) = j*x(o) + 2*u(o). Give q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -240?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + -0.399897. What is d rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -0.3, 0, -69\/121 in descending order.\nAnswer: 5, 0, -0.3, -69\/121, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 500 - 511 - (2 + -37)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 77.7 (b) 2\/3 (c) 2 (d) 5 (e) 0.1 (f) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/60 + 11*y**4\/24 - 4*y**3\/3 - y**2. Let g = 5 + -17. Let c be o(g). Solve c*s - 3*f = -6 + 29, -3*f - 8 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t - 26. Let q be a(-8). Suppose 0 = q*u - 9*u + 42. Suppose -6*x + u*x - 16000 = 0. Round x to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) 0.103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l - 10. Let x(z) = 36*z - 56. Let u be x(2). Calculate the highest common divisor of u and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 1, p: 4, u: 2}. Give prob of sequence pua.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127645 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4813*d - 2907. Calculate m(-1).\nAnswer: 1906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 125 = 2*u - 4*u, -2*u = 2*n + 100. Which is smaller: n or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -841, -1007, -1173?\nAnswer: -1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*u - 307 + 279 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2784 and 2458272?\nAnswer: 2458272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.46 rounded to the nearest integer?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 2:16 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 755501.7 decades?\nAnswer: 75550.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1)*(-10962*b + 42347*b + 7618*b + 13229*b) to the form v + f*b and give f.\nAnswer: 104464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/v**3)\/(v**1\/v)**(-26)*(v**4\/(v\/(v*v**(1\/5)*v)))**24 assuming v is positive.\nAnswer: v**(639\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -14600.\nAnswer: -131400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -289.600010769 - -289.6. What is t rounded to 7 dps?\nAnswer: -0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 15*c, -3*c = -5*x + 2400 + 4281. Calculate the smallest common multiple of x and 11.\nAnswer: 14685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 - -5 - 16\/18 and (-1)\/(-4) + 602\/(-24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) 3 (c) -18 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12082, -12080, -12078, -12076, -12074, -12072?\n\"Answer: 2*c - 12084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.046 (b) -2 (c) -2\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -40. Sort -2, -3, p, 2 in descending order.\nAnswer: p, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 12. Let p be j(6). Suppose p = -u - 10 + 7. Let b be (8\/u)\/((8\/(-24))\/(-1)). Put 5, -5, b in increasing order.\nAnswer: b, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + (1655\/260 - 6). Let t = 7 - 7. Factor t + k*g**3 - 2\/13*g**4 - 10\/13*g**2 + 4\/13*g.\nAnswer: -2*g*(g - 2)*(g - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/24 and -43\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5334.\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3032301 (base 4) in base 8?\nAnswer: 31661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000282242997 rounded to 6 dps?\nAnswer: -0.000282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36862141 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**6\/540 - l**5\/135 + l**4\/108 + l**2 - 3. Let i(p) be the second derivative of c(p). Solve i(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92c8 (base 16) in base 12?\nAnswer: -198b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.3, -1\/42, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -51326648, 2\/5 in decreasing order.\nAnswer: 2\/5, -5, -51326648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -619*c + 608*c + 77. Let g = 9 - 2. What is the greatest common factor of c and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*u + 2*m + 45, 2*u - 4*m = 22. Calculate the common denominator of ((-32)\/(-10))\/(u\/10) and -17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3914252 divided by -4\nAnswer: -978563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20400 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2821c - -19?\nAnswer: -28203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/(q*q**(2\/35)\/q)*q)*q**(1\/5))\/(q\/q**6*q\/(q**(2\/7)\/q)) assuming q is positive.\nAnswer: q**(54\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -13*c**2 + 18*c - 585. Give d(10).\nAnswer: -1705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 9. Suppose -k - y = -19. Suppose -m - 4*z = -5*m + 16, 5*m - k = z. Solve i = m*s - 2*i - 9, 7 = s - 2*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 753811.\nAnswer: 4\/753811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 + -43. Suppose 2*g - g - j = -v, 6 = 2*g. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**0))\/(t*t\/(t\/t**(-13))))**48*(t*t\/t**7*t**9)\/(t**(-1))**(-25\/2) assuming t is positive.\nAnswer: t**(1135\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -9. Solve -22 = -5*g + i*o - 4*o, 6 = -2*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92911792 and 127753714.\nAnswer: 1022029712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from msmmymsmmymmsemlmyy?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 35) + 28 - (-5 - -56).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8456 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = h + 2. Let k be (47\/(-3) - 3)*h. Calculate the greatest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -311, -637, -985, -1367, -1795, -2281, -2837?\n\"Answer: -2*q**3 + q**2 - 315*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-6)\/(-9) + 61. Suppose -79 = -3*n + 4*b, 0*n + 3*n + b - t = 0. Calculate the greatest common divisor of 63 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*r, 0 = y - r + 6*r - 17. Suppose 5*l - y = 3*l. Let p be (-2)\/l - 0 - 36. What is p rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*j**3 - 105*j**3 - 29*j + 136*j + 137*j wrt j.\nAnswer: -468*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102500 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 276 or 274?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in years?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5374 times -1.68\nAnswer: -9028.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/115 and 49\/920?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {o: 5, t: 9, v: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**6\/15 + 2*t**5\/15 + 5*t**2. Find the third derivative of n(a) wrt a.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6628949638 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15*x**2. Let q = -6 + -3. Let m(f) = 4*f**2 + 35*f - 14. Let r(y) = -4*y**2 - 40*y + 16. Let i(b) = -8*m(b) - 7*r(b). Give q*i(n) + 2*l(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4342 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 57*h - 14. Let w be q(3). Let j(k) = -k**2 + 74*k - 1 + 80*k - w*k. Suppose 4*c = -u + 2, c + 0*c - 1 = 0. Give j(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 11.1. Let p = -11 + 7. What is the closest to x in 3\/4, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 6. Let t be w(-3). Let b(s) be the first derivative of -20*s + 5 + 12*s + 0*s**3 - 3*s**t. Find the first derivative of b(d) wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 170*i**2 + 12*i. Let c(k) = -168*k**2 - 10*k. What is 5*c(w) + 4*l(w)?\nAnswer: -160*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 12:56 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -803*g + 809*g - 6372 = 0. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -427 (base 14) in base 8?\nAnswer: -1463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10138\/21 + 6578764\/13629. Calculate the common denominator of n and 11\/354.\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2218 - 1192. Suppose 124 = 2*s - o. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 36*v**2 - 50*v + 111. List the prime factors of l(5).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - 0.05. Let o = 2.37 + r. Let g = -2 + o. Which is the third smallest value? (a) -1\/8 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k**2 + 5*k + 7. Let m(f) = 4*f**2 + 3*f + 4. Let y(w) = 7*m(w) - 3*t(w). Is y(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 15708032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 18. Let g = 157 + -138. Is g less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -6. Let f(y) = -y**3 + 7*y**2 - 6*y + 3. Let a be f(w). Suppose -4*b + a + 5 = 0. Solve 3*i + 20 = 5*t, -4*t + b = -4*i - 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11779, -1, -25, 1 in descending order.\nAnswer: 1, -1, -25, -11779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 5. Let g be f(-4). Is 15 a factor of (11 - g)\/((-2)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + 255. Let t be -27 + 1\/(3\/(-6)). Let i = t - -63. Calculate the highest common factor of l and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -257.188 - -257. Let c = 0.0451 - 0.225. Let t = m - c. Round t to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4110 and 9?\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4))**(2\/19)\/(a*a**(-1))**25)\/((a**(-3)\/a**(3\/2))\/(a**(-1)\/(a\/a**(-3)))) assuming a is positive.\nAnswer: a**(-9\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 19*y - 14 = 88 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121044?\nAnswer: 2, 530261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -7*d - 104. Calculate the least common multiple of (d - (-4 + 3))*(-4)\/6 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74535 bigger than -223609\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*s + 6091 - 6025 - s with respect to s.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*r**3*s - 3*r**3 - r**2*s + 107*r*s - 1672 with respect to s.\nAnswer: 24*r**3 - r**2 + 107*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 8:21 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {e: 4, b: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 - 35 + 6 + 15 + 113 + 12*b - 25.\nAnswer: 12*b + 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**7\/30 + n**4\/4 + 2*n**2. What is the second derivative of m(i) wrt i?\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2372260 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*a + 28 = 0, -2674*a + 2671*a + 30 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) 4 (c) 20.6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - -19)*120\/32 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 202 + 82. Calculate the remainder when h is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d8 (base 16) to base 3.\nAnswer: -122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 + 1 - 1 + (-b + 0*b + 2*b)*(b + 2*b - 2*b))*(-837 + 1169 - 751)*(1 - 4 + 5) to c*b + l*b**2 + m and give l.\nAnswer: -1676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:57 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -32*m**2 - 4*m - 5. Let i be r(-2). Let v be i\/45 + 3 - 194\/(-18). Suppose -24 = -v*z + 3*z. Solve -q = z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**7\/504 + l**6\/144 + l**4\/12 + 5*l. Let i(z) be the third derivative of h(z). Find the second derivative of i(r) wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u - 20. Let j be (4 + 0)*(-3)\/(-6). Suppose -u - j = -m. What is the least common multiple of 8 and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*l**4 + 4099*l**3 + 36*l**4 + l - 2*l**2 - 4099*l**3 + 4 as g*l**3 + v*l**4 + b*l + q*l**2 + a and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 6748*o**2 - 40344*o.\nAnswer: -4*o*(o - 1681)*(o - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/81)\/(324608\/(-108414) + 1 + 2)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 322 - 1. Suppose -111 = -6*y + l. Let x be (2\/4)\/(4\/y). Solve 20 = -13*v + x*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7282 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 31.7 * -9543.42\nAnswer: -302526.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 (base 14) in base 8?\nAnswer: -633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1510\/70 - 8\/14. Let g = y - 12. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 1481. Suppose -4939 = 39*z - 28437 - 71857. Let o = q - z. What is o rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i + 133029 - 40385 = 0. What are the prime factors of i?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.91 - -0.09. Let t(h) = 7*h - 110. Let x be 10\/2 - 77\/(9 - 16). Let y be t(x). Sort y, 16, m.\nAnswer: m, y, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 1\/6*n**4 + 0 + n**2 - 5\/6*n**3 + 2*n. Factor j(c).\nAnswer: (c - 2)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -104, -155, -206?\n\"Answer: -51*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 8*t**2 - 48*t**2)*(-4*t + 6*t - t) - 18*t**2 + 18*t**2 + 3*t**3.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 43 = 88. Suppose -s*k + 2*q + 701 = -1273, 2*k - 807 = -5*q. Is 44 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11246 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w + 4. Let n(a) = -7*a**2. Give n(p(h)).\nAnswer: -343*h**2 - 392*h - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*c - 10. Let z = 72 + -28. What is the smallest value in z, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) - (sqrt(102) - sqrt(102)*-2)))\/sqrt(6))**2 + 1 + sqrt(272).\nAnswer: 4*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 90592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -171*d + 157*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1434*v - 5296*v - 240*v + 703*v as k*v + w and give k.\nAnswer: -6267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14728, 30654, 46602, 62578, 78588, 94638?\nAnswer: 110734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1974 is divided by (65 + -88)*3\/(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7315948.3 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -301 and 941?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126.2, -12, 4 in descending order.\nAnswer: 126.2, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 + 101. Let l = -10 + p. Let z = 6 + l. What is the remainder when z is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.17098ug to tonnes.\nAnswer: 0.00000000008417098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 23*s**2 - 6*s. Let p(g) = 92*g**2 - 23*g. Give 6*p(d) - 23*v(d).\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 1.3.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 1. Let z = -1.5 - c. Let s be 0 + 0 + -1 + 1. Which is bigger: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - z**3 + 3*z**3)*(0*z**2 + 0*z**2 + z**2 + (0*z - z + 3*z)*(-2*z + 1 - 1) - 3*z**2 + 0*z**2 + z**2 + (2 - 2 - z)*(5*z - 29*z + 13*z)).\nAnswer: 12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 13 - (13 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1303*s**3 - 25*s**2 + 35*s - 3. Let c(k) = -2605*k**3 - 50*k**2 + 72*k - 5. Let l(t) = -3*c(t) + 5*o(t). What is the third derivative of l(w) wrt w?\nAnswer: 7800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 5*v + 40. Suppose 84 = 18*g - 6*g. Let m be q(g). Calculate the highest common factor of m and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 1 + 0*w**2 - 2*w - w**2 - w**4 to b*w**4 + z*w + v*w**2 + q + p*w**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {z: 1, l: 11}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -61824*g - 3247. Is x(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 25, -4*x - 35 = -5*z - 90. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 357387294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(-304)*-8)\/((-3)\/12*-51)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -5*f - 50, -2 = -59*f + 61*f - x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 3\/2*g**2 + 0*g**3 - 2*g + 4 - 1\/4*g**4. Factor d(j).\nAnswer: -(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 + -156. What is the greatest common divisor of v and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63 - 13*k**2 - 2*k**3 + k - 6*k**2 - 17*k + 17*k wrt k?\nAnswer: -12*k - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a - 145. Let x(d) = -8*d + 145. Let m(l) = 4*u(l) + 5*x(l). Is m(0) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 17 + -35 + 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8425 and 29993?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 14*m + 10. Let h be a(10). Let s be (h\/(-60))\/((-1)\/2). Is s less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19512 + -78571\/4. Let p = 130 + q. Let j = -8 + 8. Which is the smallest value? (a) j (b) 1\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3142 = -3*a + w, 8 = 2*w. Let d = -11585\/11 - a. Find the common denominator of 152\/(-22) + 3 + -1 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -88. Let x = 571 - 528.92. Let s = m - x. What is s rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**3 - 22300*p**2 + 357892*p + 380188 = 0.\nAnswer: -5591, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.49 + 17.49. Sort 2\/5, -8\/11, p in increasing order.\nAnswer: -8\/11, 2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3831437580 to the nearest integer?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 12*r + 189. Calculate a(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-20))\/(6\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -920*c = -917*c - 14901. Suppose -2*o - x + 9934 = x, o - 2*x - c = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2263 - 25*d + 2263 + (2*d + 0*d - 3*d)*(1 + 2 - 1).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 1:37 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8836 is divided by 93.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0063852963 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, o: 2, p: 2, m: 4}. Give prob of picking 2 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 12:45 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 21. Suppose v*n = -3 + 21. What is the second derivative of 2*f - n*f**5 + 3*f - 2*f**5 wrt f?\nAnswer: -220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.273 - 0.027. Let g = -33 - l. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 17*a + 40 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from yzvzzyzzrynzn?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 36 = -9*u. Solve b + 5*j = 4 - 2, 0 = -3*b + u*j + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 942 - 1080 = -23*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23347530.\nAnswer: 2, 3, 5, 23, 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/10 + 2*4\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(144)*-5 + sqrt(144) - sqrt(144) - sqrt(144)) - sqrt(144))\/sqrt(3)*-6.\nAnswer: 888*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 2. Let j be s(-2). Suppose -2*r + j*r = -5*l + 18, 5*r = -l + 22. Let t(a) = 190*a - 1. Is t(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {l: 2, z: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**4\/12 + 3*o**2\/2 - 1. Let h(d) be the second derivative of t(d). Let i(z) = -3*z. Calculate i(h(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1267 and 3946474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17082 + 0.7.\nAnswer: -17081.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 2*w**2 + 4*w - 4. Let z(o) = o - 1. Determine c(r) - 2*z(r).\nAnswer: -r**3 + 2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -1797113047895?\nAnswer: 1797113047894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 71*v + 2423. Let c be y(-34). Let n(a) = -22*a + 10*a + 10 + 13*a. Let k(f) = -5*f - 41. Determine c*n(q) + 2*k(q).\nAnswer: -q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 318011 or 318012?\nAnswer: 318012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 414\/184*(-42)\/(-9)*25\/((-6750)\/(-36))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g + 2. Let b = 1 - -1. Let l = g + b. Which is smaller: 1\/4 or l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - 6. What is the tens digit of 555\/(-6)*n\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h = 198*h - 756820. Which is greater: 4789 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.00731 - 10.00727. Let l = -22 - -30. Let h = l + g. What is h rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 15463 + 12465. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(68) + -4 + (-4 + (sqrt(68))**2)*-1)*-2.\nAnswer: -4*sqrt(17) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4516 is divided by 401?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -3\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408 minus -0.3?\nAnswer: 2408.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 23*j + 26*j + 2, n = -4*j - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 194b53 (base 12) to base 4\nAnswer: 1230121233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1. Let l(c) = c - 3. Let v be (-2 - (-1 + -1))\/(-1). Suppose -4*q + b + 10 + 4 = v, -10 = -2*q - b. Let o(x) = q*f(x) + l(x). Determine o(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/15 + (-2354)\/(-642))\/((-9)\/(-20)*4)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3388 + -3187.1. Let j = a - 189. Let m = 12 - j. Which is smaller: m or 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 17667.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 37*t**3 - 14*t**2 - 154*t - 10. Determine q(2).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73228*n - 146426*n + 762*n**2 + 73198*n.\nAnswer: 762*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 30 = 6. Let u = -21 + 9. Let m = u + 4. Which is the nearest to -1\/4? (a) 2\/13 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*sqrt(243)*1 + (1 + sqrt(243) + sqrt(243))*6 + sqrt(243) - (sqrt(243) + 0 + -1 + 2)) + 3)**2.\nAnswer: 1800*sqrt(3) + 24400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 10:29 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3*(-60)\/(-172). Let o = v + -121\/301. Suppose -2*y - 2*d = -3*y + 5, 0 = 2*y - d + 5. Which is the second smallest value? (a) o (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/(-15) + (6\/(-15) - 0). Let f(k) = 2*k**3 + 4*k**2 + 4*k. Let o(v) = 3*v**3 + 5*v**2 + 5*v. What is y*o(q) + 5*f(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 0, 3, 5 in descending order.\nAnswer: 5, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 9. Let p = i + 16. Let a = -30 + 47. Solve -3*l - 5*v - a = -0*l, -5*l - 3*v = p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24934 + 2?\nAnswer: 24936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 27 = -5*m. Let a be (-15)\/(-20) + (-818)\/m. Suppose -2*y + 72 = -0*l + 3*l, 4*l - a = -5*y. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.53 - -0.13. Which is the second biggest value? (a) -1\/9 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/15)\/(13\/26)*3*(-14)\/(-42)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5. Suppose 2*r + 4*w + 6 + 6 = 0, -5*r + 3*w = -35. Let u(y) = -y**2. What is r*u(g) + m(g)?\nAnswer: -4*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 20 = -5*r. Let v(a) = a**2 - 7*a + 4. Give v(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188 divided by -6\nAnswer: 94\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27479405.000054 + 27479442. Let k = -37 + y. Round k to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 56414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19885)\/(-82)*(-184)\/(-10). Find the third derivative of -7*i**4 - 7 + 4475*i**6 + 150*i**2 + 8 - y*i**6 wrt i.\nAnswer: 1560*i**3 - 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9146795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 11 = 4*v - 0, v = 1. Suppose q + 8 = d, -q + 131 = 2*s. Suppose 3*j + s = 431. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 >= -362\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 678ab (base 12) in base 9?\nAnswer: 230015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 3:09 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -28.9. What is the biggest value in 2\/5, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5521*n - 5521*n - 214*n**2 + (3 - 3 - n)*(-1 + 2*n + 1) in the form f*n**2 + u*n + h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(48) - (-3*sqrt(3)*1 - sqrt(3)).\nAnswer: -4 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r - 28 + 28 + 2*r - 2 + 2 - r - 2*r + 4*r + (-2 - 2*r + 2)*(-5 + 1 + 3).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzfzzrfzz. Give prob of sequence zrfz.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(-2\/33)*a))\/a)\/((a*a\/(a*a*a*a*a**(-10\/7)\/a))\/a))\/((a\/(a\/(a**(-14)\/a)))\/a*a\/(a*a**12*a)))**(-38) assuming a is positive.\nAnswer: a**(-251332\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**4\/14 + 20*n**3\/21 - 4*n**2 + 48*n\/7 + 50. Factor u(c).\nAnswer: -2*(c - 6)*(c - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3240) - sqrt(40))\/((sqrt(64)*1)\/sqrt(8)).\nAnswer: 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 0*x - 227 + 227 - 2*x. Let z(k) be the first derivative of -8*k**2 + 6. Calculate f(z(m)).\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02827824 to five dps.\nAnswer: 0.02828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 7. Suppose -5*i + p*v + 57 = -234, -3*i - 4*v + 149 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)*t\/t**2)\/((t*t**(-2\/3)\/t)\/t**(-6)) assuming t is positive.\nAnswer: t**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938 = -2822*v + 1408*v + 1428*v for v.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -21. Put 6, 2, d in descending order.\nAnswer: 6, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - -6) + 51 - 11 is divided by -2 + (11 + -2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -12*k - 54. Let p(t) = -3*t - 15. Let f(r) = 18*p(r) - 5*w(r). Let b(y) = 16*y**2. Calculate f(b(v)).\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 14 - -12) + -9 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -405 + 396. Let t be 2 + o + 8\/4. Let u(z) = -z**2 - 5*z - 1. Give u(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -99*z + 3190. List the prime factors of c(27).\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5 + 4)*(20*p + 10*p - 70*p - 42*p).\nAnswer: -246*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**3 + 21*x**2 + x - 21 = 0.\nAnswer: -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7)**(-33)\/(((q\/q**(10\/7))\/q)\/q**18))**(10\/7) assuming q is positive.\nAnswer: q**(-14810\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s + 134 = 5. Suppose 307 = s*k + v - 1891, 0 = 2*k + 5*v - 1448. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 550\/3*m**3 + 0*m + 0 + 250\/3*m**2 + 205\/6*m**4 + 5\/3*m**5 = 0.\nAnswer: -10, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 5 (c) 0.1 (d) 1 (e) -1104\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1384 + -1448. Let q be 1 + -10*11 - 0. Let x = k - q. What is the remainder when x is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s - 21. What is b(12)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3887191 and -5\/353381?\nAnswer: 3887191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 7:22 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*x + 72, -6*x + 4*d = -2*x - 96. What is the common denominator of -11\/20 and x\/(-12) + 150\/32?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -21*n**3 - 84*n**2 + 84*n - 84. Let h(t) = t**2 - t + 1. Give d(y) + 84*h(y).\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 362.9 rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78613 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -19*u**2 + 6*u - 12. Let j be y(3). Let v = -171 - j. Let c(n) be the second derivative of -n**3\/6 + n**2\/2 + n. Give c(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, c: 2, d: 1, p: 2, t: 4, v: 2}. What is prob of picking 1 c and 2 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p. Let q(o) be the third derivative of 0*o**3 + 0*o + 3*o**2 - 1\/30*o**5 + 0 + 0*o**4. Give g(q(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1932 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318053.\nAnswer: 17, 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -2)*1\/2. Let y = 47 + s. Let f be 32*2*(-1)\/(-4). What is the highest common divisor of y and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4343573?\nAnswer: 13, 23, 73, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 25*t - 73. What is b(29)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6101254*v**2 + 5*v - 9. Let n be z(-3). Suppose -2*p - b = -108088742 - n, 81499996 = p - b. Round p to the nearest 1000000.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 14*j**2 - 24*j - 8. Let r be n(18). Suppose 4*h - r = -3*u, -h = 4*u - 5*h - 1160. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2971118081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v = -9. Let s = 5 + v. Suppose -s*n + 6*n - 44 = 0. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/22 and (123514\/21224 - (-12)\/(-14)) + -5.\nAnswer: 16676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 2 - (6 - 3 - 1). What is the greatest common divisor of 3 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 35.5. Let j = 29.5 - i. Let u = 28.9999872 - j. What is u rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 3 - 3)*(2*x**2 - 4*x**2 + 4*x**2) + 4*x + 10*x**3 - x - 9*x**3 to the form i*x**2 + c*x**3 + o + n*x and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from petcdec?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31826763867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d*q - 2*d*u**2 - d + q*u + 2*q - 47725*u**2 + 7481 wrt u.\nAnswer: -4*d*u + q - 95450*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 - p - 2. Let a be g(-1). Let i(h) = 2*h + 1. Determine i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1986904938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqoh when four letters picked without replacement from {y: 1, l: 4, h: 1, q: 3, o: 2}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -71. Let o = a - 10.7. Let d = -32 + 31.9. What is the closest to d in -1, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 129 = -3*k, 4*k + 55 + 197 = 4*t. Calculate the greatest common factor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkvw when four letters picked without replacement from {f: 1, k: 11, w: 1, v: 2}?\nAnswer: 11\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 + 3. What is the closest to 3 in 0, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 455 and 6685?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3996 and -91\/810?\nAnswer: 59940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4 - 4 - 2 - 1 + 5*p. Is j(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, k: 1, c: 4, h: 1, o: 1}. Give prob of picking 1 k and 1 l.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/2 - 35*j**3\/2 + 387*j**2\/2 - 1485*j\/2 + 918.\nAnswer: (j - 17)*(j - 12)*(j - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8478523 a multiple of 2234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 451083501?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-8094)\/(-190) - 40)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from lllllvllllllvlllvlll.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o*o**4*o**(-4)*(o\/o**(-1\/4))\/o*o)\/((o*(o**(-2\/3)*o)\/o)**23*o**(-5)*o*o*o**(-3)) assuming o is positive.\nAnswer: o**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*t = 26, 2*z + 3*z - 27 = -3*t. Suppose 8 = -4*x, 5*k + x + 10 = -12. Find the common denominator of (k + z)\/((-12)\/(-59)) and -43\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(13) + -2*sqrt(13)*-3 - (0 + sqrt(117))**2).\nAnswer: -585 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -311584093 to the nearest one million.\nAnswer: -312000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 167790.122 to the nearest 1000.\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6266 + 6266. Solve 4*r - 2*g - 14 = o, 3*r + 4*g + 12 - 39 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 8, -2*g + w + 2 = -4*w. Which is the second smallest value? (a) -1 (b) 8 (c) g (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.911 and 1390.\nAnswer: 1391.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -777350 divided by -22210\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 191.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 26*n**2. Let o(m) = -9*m + 30*m - 13*m - 16*m. Determine b(o(g)).\nAnswer: 1664*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5214498 divided by -6.\nAnswer: 869083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -2*p. Let t be p + -2 + 1*14. Let l(u) = -u**3 - 5*u**2 - 6*u + 2. Let f be l(-4). Solve -2*c + 13 = -3*o - f, 0 = c + 3*o + t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4, 46, 1\/40?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (7 - 12)) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3) + 130\/195)*-147?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/17, 2\/7, 0 in increasing order.\nAnswer: -10\/17, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Is ((-14)\/f)\/((-14)\/21) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1546464*n - 3092341*n + 1545882*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 155066 times 130?\nAnswer: 20158580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4*j - 450. Is (1 - (-13 - -5))*j\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47950 divided by 35\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:21 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*q + 408 = -523*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 4 - 2*q**2 + (-9*q - 6 + 6)*(-3 - q + 3) + q**2 - 2*q**2 + 0*q**2)*(-1 + 5 - 5) to y + d*q + u*q**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -9 + 1 + -49 + 41 + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 244*j**2 + 179 + 2*j - 64*j**2 - 182*j**2 to the form o*j + c + q*j**2 and give c.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2 - s. Give w(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 229841907676063 take away 1?\nAnswer: 229841907676062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6315 + 4011 = 128*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 200340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35764, 35754, 35718, 35644, 35520?\n\"Answer: -2*r**3 - r**2 + 7*r + 35760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/5)\/(-12 - 793\/(-65)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylvr when four letters picked without replacement from {y: 1, r: 1, v: 3, j: 2, p: 3, l: 1}?\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12845*v**3 + v**2 + 25320*v**3 + v - 12958*v**3.\nAnswer: -483*v**3 + v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 2 - (1 + -3). Let b be 6 - 6 - m\/3. Let x = -1.6 + 1.8. Sort x, -5, b in descending order.\nAnswer: x, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202510 (base 6) in base 12?\nAnswer: 9436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29812429 divided by 634307.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**2\/2 - 20*x. Let r(p) = p - 4. What is 5*n(d) + r(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b + 1e2?\nAnswer: 1ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/29)\/r**(-27))**45)**(-32) assuming r is positive.\nAnswer: r**(-1123200\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-3 + 40\/12). Suppose 0 = g*p - 34 - 38. Solve -5*r + p*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*y + 14. Suppose -2*c + y = -1. Suppose -z + 5 = c. Sort -1, -26, 0, z.\nAnswer: -26, -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 2*x**3 - 4*x**3)*((-5 + 5*x + 5)*(3*x - 2 + 2) + (-4*x**2 + 6*x**2 + 2*x**2)*(1 - 4 + 5) + 0 + 0 + 2*x**2).\nAnswer: -75*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -326c - 717?\nAnswer: -3984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3 - 1334 + 1301 + 6*b**2 + 18*b**2 with respect to b.\nAnswer: 3*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + c - 2. Let w(t) = -t**3 - 5*t**2 - 4*t - 5. Let k be w(-4). Is v(k) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 24, -309, -1056, -2355, -4344, -7161?\nAnswer: -10944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3 + 116246*d**2 - 4419514*d + 41992242 = 0. Calculate d.\nAnswer: -58161, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -271.351 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**3 + n**3 + n**3)*(2*n - 4*n + 3*n) + 4*n**4 + 17*n**4 + 5*n**4 as t*n + v*n**2 + z + m*n**4 + u*n**3 and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**4 + 2*i + 0*i - 2*i**4)*(-1768 + 1768 + 9*i).\nAnswer: 27*i**5 + 18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 137*q = -0*n + 138*q - 273*q + 12, 4*n = -2*q - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2\/(-4))\/(1987\/(-472906)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1008 and (-432)\/(-14)*((-903)\/(-215))\/(12\/40)?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by (63\/(-14))\/(117\/(-1118)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 78*3\/18*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**3 + 7*z**2 + 3*z - 6. Is c(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2*h - 4*m - 18, 0 = -5*h + 3*m - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + -2)*(-8)\/10. Suppose 0 = -p + s + 136, 3*p + 0*s = -r*s + 387. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 187485 and -10.9?\nAnswer: 187495.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.231 times 44.78\nAnswer: -10.34418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*3975245.\nAnswer: 31801960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-6) - (140\/30 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 62 = 5967*k - 5970*k, 20*k + 4*s - 28 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*n + 437*n - 18670 + 11634 = 24986 for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/16 - (0 + 4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aah when three letters picked without replacement from {h: 1, o: 7, a: 2, l: 1, p: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/15)\/(2\/(-15)). Let n be ((-4 - -2) + 127)\/(v\/(-1056000)). Round n to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 90*p - 39. Let i be f(2). Let t be i\/24 + (-22)\/(-176). Solve t*o - 11*o = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 7*d + 6. Let h be y(8). Let c = -1 + h. Let k be c\/6 + (-18)\/(-4). Solve k*i = -7 - 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (1 - (-2 - 2)). Let a be (-1 - -2)\/(2\/4). Let t = i + a. Calculate the smallest common multiple of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2315 + -2146?\nAnswer: -445b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-26)\/(-3)*(-72)\/8)\/(-2) is divided by (-28)\/(-6) - (-12)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11534 and 263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/64)\/((-120)\/80)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-56))\/1 - 2344\/(-126). Let d = u + -1217\/63. Let t = 0.31 - 0.3. Which is the nearest to -1\/2? (a) 0.4 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**5\/7 + 423*c**4\/7 + 18045*c**3\/7 + 219237*c**2\/7 + 696384*c\/7 - 934092\/7 = 0.\nAnswer: -62, -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -3\/2, 0.3, -58?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 878405 and 2635215?\nAnswer: 2635215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-66)\/55)\/((-1)\/120) and 24?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*y**2 - 3*y**3 + 5*y**3 - 5 + 5.\nAnswer: 2*y**3 - 180*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -7*a**5\/2 - 65*a**4\/2 + 11973*a**3\/2 - 20339*a**2\/2 + 2527*a + 1692 = 0.\nAnswer: -47, -2\/7, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6385807474 to the power of 1\/4, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f. Let o be v(0). Suppose 4*l = -12, -27*z + 31*z = -4*l - 4. Let m be z\/3*6\/(-2) - -1. Which is the second smallest value? (a) m (b) o (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 6*y**2 + 3*y - 5. Suppose 3*k = -3*h + 35 + 34, 0 = 2*k + 4*h - 50. What is the remainder when k is divided by n(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w - 53 = -4*p, 0 = -5*p - w + 30. Suppose -12*a + p*a = -35. Find the first derivative of a + 26 + 34*r**4 - 1 - 4 wrt r.\nAnswer: 136*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -5. Let f be (g + 64\/68)\/1. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -21*p**2\/8 - 57*p\/8 + 405\/4 = 0.\nAnswer: -54\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*b - 8994. Does 41 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14981813 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 21*x**2 - 17*x - 50. Is w(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 110. Let g = 30 - c. Let y = 77 - 80. Sort y, -9, g, 0.\nAnswer: -9, y, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7425 - 0.2.\nAnswer: 0.5425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/209, -2\/7, -0.0656 in decreasing order.\nAnswer: 1\/209, -0.0656, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i - 3. Let z(p) = -3*p + 2. Let x(k) = -k + 6. Let c be x(8). Let o = 7 - 10. Determine c*q(b) + o*z(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*d - 15 = 135*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 11826 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 2, m: 2}. What is prob of sequence mm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**5\/60 - 5*a**4\/12 - a**3\/2 - 3*a**2. List the prime factors of y(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (104\/84 + 8\/(-14))*3. What is the second derivative of 6*i**2 - 791*i + 11*i**2 + 756*i + 15*i**b wrt i?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*x - 94*x**2 + 82*x**2 - 3*x**3 - 50*x - 14*x**3 - 55*x.\nAnswer: -17*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 1)*(0 + 7*h + 0)*(2 - 1 - 2) in the form b + w*h and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - 85*b**2 - 458*b - 42. Determine y(47).\nAnswer: -1687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -35815.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4594 + -1993. Suppose 5*v - 314 = r. Is 27 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**3 + 53 - v**3 + 22 - 3*v + 4*v - 4*v**3 to i*v + g + p*v**3 + q*v**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 2158?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 9646*t**2 - 307136*t + 2452992.\nAnswer: -2*(t - 4791)*(t - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 8*j + 10. Let y be d(4). Let w(a) = a**3 + 8*a**2 + 6*a - 13. Is 2 a factor of w(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21224591 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0631 less than 0.013?\nAnswer: 0.0761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -7 + 1 - 4*b**2 + 3*b**2 + 0*b**2. Let j(t) = 16*t**2. Calculate j(x(y)).\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/7, 1, 8, 0.3, -1\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*c + 19. Let q = c - -4. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z**2 - 34*z + 16*z + 18*z.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7574)\/(-16230)*(-18)\/(-7))\/((-6)\/(-260)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2.1. Let i be 8\/120*6 + 6\/(-10). What is the closest to k in i, 4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1120*h = -1631 - 30393 - 2696 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 259436.2 kilometers?\nAnswer: 259436200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.99 + -0.01. Let p be (-164)\/24 + 2\/(-3). Let o = -139\/18 - p. What is the nearest to -1 in -4, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 5170*u + 41458. Determine j(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Let g = -11 - 1. Let t be ((-20)\/s)\/(6\/g). Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 42*y**3 - y**2 + 3*y - 3. Let k(q) be the first derivative of -21*q**4\/2 - q**2 + 2*q + 1667. Give 3*k(s) + 2*w(s).\nAnswer: -42*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 14) to base 15\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -164*j + 3512. Give g(22).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 38071220.14 and 1425.\nAnswer: 38072645.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823353 a multiple of 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -14 - y + 5*y + 5. Let t(x) = 5 - 1056*x + 0 + 1054*x. Let r(g) = g**2 - 5*g - 1. Let w be r(4). What is w*t(a) - 3*u(a)?\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**4\/5 - 1593*g**3\/5 - 80154*g**2\/5 - 1390656*g\/5 - 8059392\/5 = 0.\nAnswer: -477, -22, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = b + 79, 12 = -4*f - 4*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3\/4 + 125*p**2\/4 - 85*p + 55.\nAnswer: -5*(p - 22)*(p - 2)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2482, -4966, -7450, -9934, -12418?\nAnswer: -14902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*a + 10 = 0, -5*q - 10 = -q - a. Let t(h) = -4*h - 8. Let r be t(q). Sort 7, -1, -4, r.\nAnswer: -4, -1, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0946 to 3 decimal places.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 - -1.9. Let f = -589 + 589.2. Which is the third biggest value? (a) v (b) -31 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l - 2*l)*(3 + 35*l**3 + 647*l**2 - 647*l**2).\nAnswer: -70*l**4 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -s + 3*s + 24, -5*s = 5*z - 15. Let q(n) = 2*n**2 - 3*n - 19. Let d(y) = y**2 - 2*y - 9. Let u(o) = -5*d(o) + 2*q(o). Give u(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3887 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in decades?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -17)*8\/(-6). Let b be ((-4)\/6)\/(m\/30). Let z be (-3)\/(-9)*(b + 8). Solve 4*n - 2*a = 14, n - 4 - z = -3*a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 209507498*q*x**3 - 5*q*x**2 - 7*q + 933*x**2 - 6*x + 9 wrt x.\nAnswer: 1257044988*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2935737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 12:59 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -45. Calculate the remainder when 27 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110\/3 + 37. Let t = -4.52 + 3.8. Let v = t - -0.42. What is the nearest to 3\/2 in g, -5, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**5 + 23988*y**4 - 72064*y**3 - 384048*y**2 - 288000*y = 0.\nAnswer: -6000, -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1075*m + 1138*m = -1890 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 15 = -7*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.84 + -1.84. Let b be -7 - 3237\/(-169) - 12. What is the closest to u in 5, -2\/5, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/2*1*4. Let y = 78.5 + -79. Which is the closest to -0.1? (a) -0.4 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -225885588?\nAnswer: 225885588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -0.28, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -192*s + 19. Suppose -3*x + 0*x = 12, -3*h - 3*x = 18. Let n be (12\/(-10) - h)*(-45)\/9. Is m(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -19. Let v be (-1 - 4\/((-16)\/12)) + l. Solve 5*d - 2*i = -4*i + 1, -3*d + v = -5*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 11929365?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 637*q + 392. Let o be z(0). Which is the third smallest value? (a) o (b) 2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 11076*l - 11080*l = 40, 0 = 3*n + 5*l + 26 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s - 3406 = s - 97*s for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 - ((-135)\/(-25) + -2). Is (t - 0 - 3) + (1 - -22304) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 14435502?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-35) + 639\/15*1. Let b = 57 - n. Suppose -b = 4*u - 5*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.066 and -1537.\nAnswer: -1537.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from jjqjjqqjjjqjjqqq?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2320 and 45360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.015*-0.05.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27 - -7 - (218 + -199)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 442 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvva when four letters picked without replacement from {w: 1, y: 4, v: 3, a: 11}.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -41444 (base 5) to base 8\nAnswer: -5275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13960 + -13939. What is the greatest common factor of n and 10332?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -346, -2313, -5576, -10135, -15990, -23141, -31588?\n\"Answer: -648*x**2 - 23*x + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 2*i - 2. Let t(y) = -y**2 - 11*y + 10. Let j(g) = -g**2 - 4. Let m(o) = -5*j(o) - t(o). What is 2*m(q) + 11*s(q)?\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 2*v**3\/3 + 5*v**2\/2 + 4*v - 17. Let k be q(-2). Solve -2*w = k*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613753 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r = 33*r + 90. Suppose 4*y = u - 4 - 14, -3*u = -4*y - 78. What is the greatest common factor of u and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*u + 8, 3*g - 6 = g - 3*u. Solve -2 = 2*s - g*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/360 and -65\/811448.\nAnswer: 36515160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 + 8*h + 1. Let y(j) = -11*j**2 - 19*j - 1. Let l(k) = 9*r(k) + 4*y(k). Let q(u) = u + 1. Determine -l(o) - 6*q(o).\nAnswer: -o**2 - 2*o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -10*f**2 - 4*f + 13. What is h(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*g = -126 + 270 + 298 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.1489 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, -1\/9, 16, -0.6, -2\/3 in ascending order.\nAnswer: -2\/3, -0.6, -1\/9, -0.1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 12*i**2 - 12*i. Determine d(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3504514271 to 2 decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 3*s**4 + 2 - 4 - 3*s**3 + 3*s**3 + s**3 to the form y*s**2 + p*s + k + f*s**3 + c*s**4 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 3*a - 2. Suppose 3*q = 2*m - 71, 0 = -3*m - 4*q + 66 + 15. What is the remainder when m is divided by o(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*20\/(-2)*-4. Suppose p - j = -3*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 53 + 85. Let q(d) = d**2 + 8*d + 4. Calculate the remainder when x is divided by q(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3313, 13101, 29415, 52255, 81621, 117513?\nAnswer: 159931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i - 108580 = 46*i. Is -1219 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 34*r - 135. Determine g(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwww. What is prob of sequence wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*h - 88 = -c, 0 = -3*c + 5*h + 80. Let o(z) = -z**3 - 6*z**2 + 8*z + 7. Let l be o(-7). Solve l = -0*b - 4*b + c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/8 + (-3)\/(-12). Let d = v + 8. Suppose 0 = k - 0*k - d. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 996124763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133102 = 8880*j - 941182 for j.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6428 + -6425. Solve x + 2 = -5*t, -w*t + 17 = 5*x + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 45. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -352, -549, -760?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 + 12*w - 6. Let h(i) = -10*i**2 - 40*i + 18. What is 5*h(j) + 16*l(j)?\nAnswer: -2*j**2 - 8*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i + 3. Let c(n) be the second derivative of -n**5\/20 - n**4\/6 - n**3\/3 - 3*n**2\/2 - 7*n. Let a be c(-2). Let h be -4 - a\/(-2)*0. Give x(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3332902 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 46 - 1*2. Let z = l + -38. Let s be (0\/(0 - z))\/1. Solve 0 = 3*f + y, s*y = -5*f - 5*y - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j + 9*j**4 + 6*j - 25*j**4 + 7*j wrt j.\nAnswer: -192*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.0225\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 16*k + 68. Calculate p(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 0*z - z - 11 - z. Suppose 0 = -2*x + h - 14, 3*x - h + 22 = -0*h. Let g be l(x). Solve -g*o + 3*o = -10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/42*21\/14. Let c = 5.873 - -0.027. Let q = 3.9 - c. What is the second biggest value in f, q, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-24) - (-114)\/8. Suppose h = 3*b, 0 = 2*t + 2*b + 9 - 25. Suppose -t*n + 1155 = 2*n. Calculate the highest common divisor of n and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24573 rounded to three dps?\nAnswer: -0.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4299089 years to millennia.\nAnswer: 0.0004299089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9847139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 4*u**2 - u - 4. Let r = 0 + -3. Let o be s(r). Let d = -4 + o. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 833 (b) 14 (c) 0.5 (d) -66 (e) 0.1 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624) + (sqrt(624)*1 - sqrt(624)))\/sqrt(12) - sqrt(52))\/(-2*-2*sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 2*k. Let l be d(2). Suppose l*u - 2*u - 6 = 0. What is the common denominator of 110\/12 + u\/6 and -40\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.882843ug in tonnes?\nAnswer: 0.000000000002882843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -343476 divided by 61?\nAnswer: -343476\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2 - 2 - -2) + (-733 - -687) - -5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 705955?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0523187*-0.4\nAnswer: 0.02092748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 3. Let x be y(0). Suppose 0 = 3*g - 358 - 167. Let o = g - 1749\/10. Which is the closest to -2\/5? (a) x (b) 0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47641?\nAnswer: 11, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3371 = 5*p - 3*l, 10*l = 4*p + 5*l - 2702. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -3, 274, 3, 4 in descending order.\nAnswer: 274, 28, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 16 = -2*m. Let k = -14 + m. Let q be (1 - 3)\/((-3)\/12). Solve -q = -x - 2*g, 3*g + 7 = k*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -1.1. Let k = -74.9 + m. Let g = k + 74.48. Round g to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94518 and 1188?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -p + 5*s, 3*s - 79 = -2*p - 3*p. Let d = -2 - -5. Suppose q = d*q - 98. Calculate the remainder when q is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -1383.3\nAnswer: 1383.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*9\/36)\/((20\/32)\/1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -8*s + 12*s. Which is smaller: s or -12\/113?\nAnswer: -12\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957 a factor of 472491326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 6*s + 8. Let v be q(2). Let a = v + 17. Suppose a*y - 5*y = 0. Solve 2 = -c + f, -2*c - f + y*f + 11 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, j: 7, b: 4, r: 2}. What is prob of picking 1 b, 1 e, and 2 r?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 27*12\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let c(f) = -2*f. Let t(g) = -3*c(g) - 4*k(g). Give t(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f**(4\/5)\/f)\/f*f*f))\/f*f\/(f*f**(-1\/3))*(f**0)**(-32) assuming f is positive.\nAnswer: f**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -360 + c**2 + 361 - 2*c**4 - 6*c + 4*c to the form v*c**2 + g + s*c**4 + b*c**3 + f*c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -17. What is the closest to -2\/5 in -1, 1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 2. Let c be o(0). Suppose 0 = -c*p + 5 + 1. Let q(y) = 2*y**2 - 18*y - 265. Calculate the remainder when q(17) is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - m = -2 - 10, -5*m = -u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 m, and 2 c when four letters picked without replacement from mmzccmcmzcc?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -41637880.16 rounded to the nearest one hundred thousand?\nAnswer: -41600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 112967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.996502 litres?\nAnswer: 996.502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(294) - sqrt(294)*1) + sqrt(294))\/sqrt(6))\/(sqrt(28)*4).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/2 and -151\/6160?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 212 - 78 + 0*r + 2*r + 290.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 753\/4 - 188. Let n = -11 - -11.9. Let p = n + -0.5. Which is the smallest value? (a) u (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150891?\nAnswer: 17, 23, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315408 divided by -4?\nAnswer: -328852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1872) + 2 + sqrt(1872).\nAnswer: 6 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**3)**(2\/63))**(-2\/11))**(1\/22) assuming q is positive.\nAnswer: q**(-2\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(9\/(27\/(-6))). Solve v = 56*s - 60*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.901 plus -2171?\nAnswer: -2204.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13437810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 430 times 2\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4045)\/(-25))\/(((-115)\/(-1325))\/23)?\nAnswer: 53, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 + 21*x**2 - 7*x - 4*x**3 - 14*x**2 + 8. Let i be z(5). Suppose -5*l = -153 + i. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + 103. Is 39 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2a98 + 96?\nAnswer: b2b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*k + 26202 = 16404 - 41462 - 2605 for k.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 - 61919*v**3 - 371545*v**2 - 309625*v.\nAnswer: v*(v - 61925)*(v + 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 14. Solve 0 = 5*d - 4*a - v, -4*d = a + 8 - 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 818255 and 740?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900*l = 901*l - 1791*l + 4307500. What is l rounded to the nearest one thousand?\nAnswer: -431000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**5\/f*f)\/f)\/f**(-6))**(8\/9) assuming f is positive.\nAnswer: f**(80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147 + -103. Let p(h) = -l*h**2 + 12*h**2 + 15*h**2 + 19*h**2. Let n(f) = 7*f - 5*f - 27*f. Determine n(p(i)).\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1002 - -1025. Is z bigger than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 95\/30 - (-3)\/(-1). Let t(w) be the third derivative of -1\/12*w**3 + w**2 - 11\/60*w**5 - j*w**4 - 3\/140*w**7 - 1\/10*w**6 + 0 + 0*w. Factor t(y).\nAnswer: -(y + 1)**2*(3*y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 299\/52 - 2\/(-8). Let -13*n**3 - 9*n**5 + v + 10*n**4 - 17*n**3 - 40*n**4 + 15*n = 0. What is n?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 74.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3852, 16231, 37148, 66603, 104596, 151127?\n\"Answer: 4269*c**2 - 428*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104456 is divided by 10377?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 483445*v**4 + 1042*v**2 + 106*v?\nAnswer: 11602680*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 14\/31 (c) 0.03 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4290383 divided by -152.\nAnswer: -4290383\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3722081.641 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 160 = -4*z, 9*z + 6*z + 5*c = 7*z + 4*z + 198 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o*w**3 - 6*o*w - 43*o - 69271*w**3 + 6*w wrt w?\nAnswer: -12*o*w - 415626*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 436 + -434. Differentiate 3*m**2 - 9*m**2 + 7*m + m**2 + 2*m**z + 8*m**2 + 95 wrt m.\nAnswer: 10*m + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.09 - -5.075. Let p = z + 0.0058. What is p rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578*i = 577*i + 4*p + 108, -2*p = 4. What is the smallest common multiple of i and 45?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 18129*n + 217545. Give l(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -266, -1040, -2332, -4142?\n\"Answer: -259*d**2 + 3*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 0.1, -5, -0.368, 128?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2*(-35)\/(-462))\/(60\/(-72))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 85*t + 92. Let k(l) = l**2 + 57*l - 61. Let u(f) = 5*i(f) + 7*k(f). Let r be u(12). Find x, given that 15\/2*x**2 + 3\/2 - r*x = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**3\/6 + 4*x**2. Let z(l) = -7*l + 3. Suppose -2 = k - 1. Calculate k*z(i) + 3*h(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95956424?\nAnswer: 2, 1171, 10243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10 from 3631664.\nAnswer: 3631674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -154 and -0.054.\nAnswer: 8.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - u**2 - u + 1. Let p be o(1). Let v be (-1 + (-24)\/4)*p. Is 29 a factor of 14\/(-49) + (-793)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 26814843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-6) + (-66)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 5156*z**4 + 5156*z**4 + 148*z**5 + (z**2 + 0*z + 0*z)*(-z**3 - 4*z**3 + 4*z**3).\nAnswer: 147*z**5 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*h + 4*m = 242*h - 16, m + 4 = -5*h. Let k(j) = -2*j**3 + 2*j - 1. Let d be k(1). Put -4, d, h, 1 in ascending order.\nAnswer: -4, d, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -75, -140, -239, -384?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 23142*f + 1094301.\nAnswer: -3*(f - 47)*(f + 7761)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 12 = -5*z. Suppose w - z*u + 34 = -3*w, u = -3*w - 19. Let i = 22 + w. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/714 and -95\/2856.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than -538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 7:31 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 24935*h - 65955*h + 20816*h + 0.\nAnswer: -70074*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 152\/(-418) + -6*42\/(-88)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7129356 a multiple of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/33 - (-6480)\/13464. Solve w*l**2 + 2\/17*l + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*g, -2*y + 1641 = g - 313. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.46290947 and -113355.\nAnswer: -113352.53709053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 18.3454?\nAnswer: -18.5454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5954 + -3?\nAnswer: -5957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116981 is divided by 2207.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2251060.5 and -85.452.\nAnswer: 2250975.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (11 + -45 - 33) - 5?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 - 5. Suppose -4*b = 2*i - 20, i - 7 = -6*b + 5*b. Calculate d(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k. Let v be u(1). Suppose -3*x = -3, 5*m + 5*x - 3 = -18. Let w = m + v. Solve 4*f - 12 = -w*z, 8*z - 3*z + 4*f = 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-32))\/((-2)\/(-652)). Calculate the greatest common divisor of q and 31133.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001121101 - -11?\nAnswer: -2001121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -324, -486, -648?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 * 11069323\nAnswer: 243525106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in -5, -39, 19?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*x**2 - 12*x**2 - 58*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.16 - -4.84. Sort v, -4\/7, 2, 3 in ascending order.\nAnswer: -4\/7, 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from qxx?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 13*z - 149. Let f be j(20). Let s(d) = -8*d - 74. Let x be s(f). Which is the nearest to -0.1? (a) 4 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 - 3. Let g = 0.9679 - 1.0079. Which is the fourth biggest value? (a) -2\/9 (b) 3 (c) g (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278292?\nAnswer: 2, 3, 7, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 304094251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*r = -3*r. Suppose r = -11*l + 10479 - 1943. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/183040 and 61\/6336.\nAnswer: 1647360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3 = 1. Let q be (2 - 36\/14)\/(11*390\/5005). Which is the second biggest value? (a) q (b) 2\/3 (c) f (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 21*a**2 + 17*a - 36. Give b(-22).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2127318542?\nAnswer: 2, 163, 6525517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.9 + 0.1. Let r = -2.7 - -1.3. Let q = r + 0.4. Which is the closest to 0.1? (a) -0.3 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.15 - -0.13. Let q = 0.08 - a. Sort q, -5, 1\/11.\nAnswer: -5, q, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-139772)\/(-9) - (4 + 1 - (-602)\/(-126)).\nAnswer: 2, 5, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1045*z + 86*z**2 - 1045*z)*(-27 - 21 + 21)*(-z - 3*z + 3*z) as f*z + r*z**3 + p*z**2 + d and give r.\nAnswer: 2322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8253, 33808, 59349, 84870, 110365, 135828, 161253, 186634?\n\"Answer: -d**3 - d**2 + 25565*d - 17310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332746 (base 10) to base 6.\nAnswer: 11044254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2 + 6. Suppose 3 = -4*o - 1. Let h(n) = n**2. Let j(x) = o*g(x) + 12*h(x). Differentiate j(z) with respect to z.\nAnswer: 32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:42 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0893273254 - -83.9106632746. Let v = -112 + 196. Let j = v - k. What is j rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -72, -138, -196, -246, -288?\n\"Answer: 4*i**2 - 78*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0*(-5)\/10)\/(-1). Suppose 3 = 3*w, v = h - 2*h - w + 5. Suppose -h*p + 4 = 0, -2*p + 5*p + 3467 = 2*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1331479 >= -1331478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 14 - -3 - (-1 + -2 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3 = 0, 4*t + 4*l - l + 7 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4229632 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -2353636, 3 in decreasing order.\nAnswer: 41, 3, -2353636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*z**4 + 3*z**4 - 4*z + 0*z**4 wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -2 (c) 5 (d) -47 (e) -1\/3 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 - 77. Suppose -q + 92 = -3*k, -5*k + 144 = a*q - 51. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9601125.00213 - 9601354. Let a = -229 - l. What is a rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/5 - (-4)\/(-10). Let p be 15\/h + 1\/(-2). Let j(w) = w**2 - 6*w + 5. Let i be j(5). Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, d: 2, z: 3}. Give prob of picking 2 z and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 426 and 4939257.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5*1)\/(31\/((-1302)\/105))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 873510.7m?\nAnswer: 873.5107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 13. Suppose m*p - 3*y = 3*p + 34, 5*p = 5*y + 40. Solve -p*f - n - 2 = -3*n, -5*n = 3*f - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3 = -c. Let r(t) = 3*t**2 + 2*t + 1. Let o be r(c). Let h be 6 + (o - 9\/3). Solve 0*j + 9 = -4*j - h*s, 2*j = -5*s - 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*s - 221*s + 30*s - 169*s + 46*s.\nAnswer: -493*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 4*b**2 + 9*b - 8. Suppose 6 - 22 = -8*t. Let z be g(t). Solve j = -z*k + 9, -5*j + 2*k = -3*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 10*b**2 + 11*b - 14. Determine p(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -12. Let n = p + -3. Solve 0 = x - 4*k - n, 0 = 4*x + 5*k - 0 + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6875 - 4077. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 25*k + 2*k**2 + 8*k**3 - 27*k - 5 as i*k + u*k**3 + o*k**2 + v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/5 and 67\/448120?\nAnswer: 448120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1690*c**4 + 15*c + 3388*c**4 - 1690*c**4)*(11*c + 31*c + 44*c).\nAnswer: 688*c**5 + 1290*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7 - 30*d + 16*d - 2*d**2 + 4*d**2. Is y(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {y: 7, z: 12}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 417883 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a - 14*a - 18 - 269*a**2 - 3 + 21. Let p(k) = -3*k**2. Give x(p(l)).\nAnswer: -2421*l**4 + 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 - 3 = 0. Suppose -f = -3*o - 10, c*o = 4*f - f - 9. Let z = -33059 - -33066. Calculate the highest common factor of f and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 44 = -6*y + 16*j, 4*y + 1077 = -2*j + 1211 for y.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1774750 divided by 5725.\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 519, 784, 1049, 1314?\n\"Answer: 265*x + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87 (base 12) to base 8.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29605659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 48 in ascending order.\nAnswer: -4, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -134043\/8 greater than or equal to -16756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -17 (b) -108 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/15)*j)\/j*j**(-17)*j\/(j\/j**0)*j**(-21) assuming j is positive.\nAnswer: j**(-569\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + 5*f**2 - 4*f - 9. Let w be v(-2). Solve 4*x = 3*c - 11, -3*c - 1 = -w*x - 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490802 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -748051178*d - 750403615 wrt d?\nAnswer: -748051178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 - -11301?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**5\/300 - k**4\/12 + 5*k**3\/6 - 9*k**2 - 41*k. Let q(c) be the first derivative of b(c). Factor q(h).\nAnswer: (h - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.5 - -8.4654. Let d = s + 0.051. Round d to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 73 - 27 - 58*m - 3*m. List the prime factors of a(-6).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:27 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2) + 6 - (0 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000799644588 rounded to 6 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 247*v**2 - 294*v - 45 - 49 + 242*v**2 - 47 + 144 wrt v.\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1150301666 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -12*r - 45. Let k(b) = 24*b + 168. Is 72 a factor of k(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**6*y**2 + 1915292*r**4 + 272633*r**2*y - 12*y**2 wrt r?\nAnswer: -360*r**3*y**2 + 45967008*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12800 and 2048?\nAnswer: 51200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let x(o) = o**2 - 1. Let t(i) = -4*i**2 + 2. Let h(j) = t(j) + 6*x(j). Let w(b) = 3*b**2 - 5. Let y(k) = -5*h(k) + 4*w(k). Give y(q(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/20)\/((-2)\/(-20)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -19*c - 5. Let m(u) = -4*u - 1. Let b(f) = -2*i(f) + 11*m(f). Calculate the smallest common multiple of 6 and b(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 19*j**2 - 3*j - 6 - 18*j**2 + 1 + j - j. Suppose 2*c - 9 = 1. Let z be u(c). Solve 5*w + z = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 869 - 15818807.\nAnswer: -15817938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + -17 - -14) + 19 + -6 + (4 - -102).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2381087593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**4\/12 + 7*m. Let s(r) = -16*r. Give s(p(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463919?\nAnswer: 463919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1268473, -2536901, -3805329?\nAnswer: -5073757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2873*i + 1932*i + 1688*i.\nAnswer: 747*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -0.0321.\nAnswer: -0.2679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109878929?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56002156 to the nearest integer?\nAnswer: 7483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4094, 8197, 12308, 16427, 20554, 24689?\n\"Answer: 4*w**2 + 4091*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:03 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 234768 = 434232. Round r to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299075359 divided by -11?\nAnswer: -27188669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4 = -2*c + 4, -a = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130.764 + 131. Let s = r + -2.936. Round s to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 42. Let o(j) = 2*j - j - j**2 - 12 + 16 - 8*j. Let l be o(-4). Is 6 a factor of g(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1813299.\nAnswer: 3, 604433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 15*j**2 + 6*j**3 - 6 + 4 + 2*j**3 - 10*j**3 + 4*j**4 to b*j + n + i*j**2 + h*j**3 + t*j**4 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 245*v**3 - 245?\nAnswer: 735*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 69. Let x(l) = 5*l - i*l - 2*l**2 + 5*l - 5. Give x(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.051 and -67.\nAnswer: 3.417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1864616808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvj when three letters picked without replacement from {v: 2, j: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -7*m - 5*k + 8, m + 6 = 3*k. Is -3\/55 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2431.79 + 2689.8. Let d = -258 + j. Which is the third smallest value? (a) d (b) 1\/5 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 11.9. Let o(k) = k**3 - 10*k**2 + 5*k - 48. Let s be o(10). Let x = -167\/2 + 1833\/22. What is the nearest to s in m, x, -2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(28 + 10 + 1)*(0*y**5 + y**5 + 0*y**5).\nAnswer: -39*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50625522.\nAnswer: 2, 3, 281, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z - z - 5*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*l = -56*l - 39594. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288294667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 15*v**2 - 31. Let y(u) = -1. Let o(k) = r(k) - 5*y(k). Differentiate o(b) with respect to b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189 - -147. Let c = 179 - v. Let q = c + 474. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - w + 0*w)*(2 + 2 - 5) + 5*w - 5*w + 2*w + 0 + 0 - 2*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 154 divided by -1638\nAnswer: -11\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3116 (base 11) in base 7?\nAnswer: 15021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3))**(-6)*c*c**(-8)*(c*c**1\/c*c)\/c*c)**22 assuming c is positive.\nAnswer: c**286","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5952 - 2564. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385.010304 - -385. Round x to four decimal places.\nAnswer: -0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - u + u)*(0*u - 2*u + 0*u) - u**3 + 3*u**3 - 4*u**3 + 9*u**2 - 5*u**3 - 9*u**2 + 2*u**3 - 5*u**3 + 0*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 300*y**3 + 6568*y**2 + 35088*y + 46240.\nAnswer: 4*(y + 2)*(y + 5)*(y + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 130*k + 1820. Calculate l(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**3 - 13*a**2 - 4*a - 13. Let p = 123 - 117. Let b(u) = -2*u - 24*u**3 - 6 - 25*u**3 + 68*u**3 - 6*u**2 - 22*u**3. Determine p*q(s) - 13*b(s).\nAnswer: -3*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/9 - 154*u\/9 - 4000\/3 = 0 for u.\nAnswer: -48, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10955 - o + 3*o - 10955.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - m = 21, 20*m - 22*m - 26 = -4*f. Suppose n + 8 = 2*n. Solve 4*b - n = -f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 0. Solve 2*i = w + 6, -4*w + 4*i - 8 = -s*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1244 = -3*k - k, -3*y = -5*k + 1577. Let l = 366 - k. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.24, -4, -0.3, 21, -1, 4, 510?\nAnswer: 510","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -257618 - 14?\nAnswer: -257632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/10 + (-1)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 14 = 4*y, 5*i = 4*y + 8 - 10. Let g be -1*5*(-44)\/10. Let v = -70\/3 + g. Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -13)\/(-561 + 569 + (-84)\/10).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-10)*n**(2\/43)*n*((n**(-2\/13)*n)\/n)\/((n**(-4)\/n)\/n) assuming n is positive.\nAnswer: n**(-1737\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3125524 + -1?\nAnswer: 3125523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159975 by 2025.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011 (base 3) to base 8.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*m = -252*m + 1540. What are the prime factors of m?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 2, -17, -7 in descending order.\nAnswer: 6, 4, 2, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/436 and 85\/1962.\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1620)\/(-7))\/(16\/(-168)). Round s to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 8640\/225)*4?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 + 7 = 0. Let l = 6 - i. Suppose -r - 4*r = -135. Solve 0 = -3*v - l*p - 3*p - r, 5*v + 3*p + 37 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 1525763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l + l**2)*(-2*l + 2*l + l) - 3 + 3 - 2*l**3 - 2*l**3 + 2*l - 2*l - 28863*l**2 + 91*l**3 + 28863*l**2.\nAnswer: 88*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 214, -0.2, -963 in descending order.\nAnswer: 214, -0.2, -963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4615, 4546, 4477, 4408, 4339?\n\"Answer: -69*h + 4684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1171*a**3 - 30003*a**2 + 1183*a**3 + 30003*a**2.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 693.5269mg to tonnes.\nAnswer: 0.0000006935269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (1 + (-1 - -854)). Let r = 1535 + x. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - q**2 - 4*q. Let k(y) = -2*y**3 + 7*y**2 + 28*y + 19. Determine -14*j(a) - 2*k(a).\nAnswer: 18*a**3 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -33. Suppose -d = 4*q - o - o, 0 = -4*q - 4*o. Which is the second smallest value? (a) 1\/2 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6283831*h**2 + 6283835*h**2 - 227 + 227.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - -6)\/6 + 4. Suppose -k + 2*b - 2 = 0, y = 2*k - k + b. Solve k*a - 4 = 3*c, -c - 2*a - 2*a = 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 4. Let s be p(2). Suppose 0 = -s*r - 8. Let b be -3*(-3)\/(-9)*r. Solve -4*q = b*c + 19 - 3, 3*q = 4*c - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*2*(-369)\/(-4428). Let s = -5.08 - -0.08. Which is the closest to x? (a) -1 (b) 3\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2921 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 l when three letters picked without replacement from blbddbdddlbmllbb.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2171*b*s**2 - 2308*s**2 wrt b?\nAnswer: 2171*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 25*y**4\/6 - y**3\/6 - 31*y**2\/2 - y - 31. What is the second derivative of t(q) wrt q?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 5. Let i be l(-3). Let m(d) = 7*d**2 - 11*d**2 + 6*d**i. Let s(k) = -4 - k + 4. What is m(s(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -6 - -3 - (6 + -6)) + -20\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 640 - (3 + -5 + 2). What is j rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Let d = 4 - h. What is the third biggest value in 5, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*sqrt(1584)*6 - (sqrt(1584) - (sqrt(1584) - (sqrt(1584) + (sqrt(1584) - -2*sqrt(1584)) + sqrt(1584))))*3 - -5*(-3 + sqrt(1584) + 2)))**2.\nAnswer: 4224*sqrt(11) + 766720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-1803)\/(-27) - (-4 - (-34)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgggfzgpfxgzg. What is prob of picking 1 f and 1 p?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -215 (b) 0.4 (c) -5 (d) 0.5 (e) -1428 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let h(x) be the first derivative of -5*x**4\/8 - 2*x**2 + 6. Let w(c) be the second derivative of h(c). What is w(b(t))?\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - ((-14 - -2) + 4)) + 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - 0.1. Let b be (-1)\/(1\/(3\/7)). What is the nearest to d in b, 5, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(-1 + 3 + -5 + (sqrt(720) - (-4 + sqrt(720)*4))))**2.\nAnswer: -648*sqrt(5) + 58334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -287 divided by -639191\nAnswer: 41\/91313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w - 4 - w - 3*w**2 - 2*w**2. Let s(k) = 7*k**2 + 5*k + 9. Let o(i) = 6*i**2 + 4*i + 9. Let p(f) = -4*o(f) + 5*s(f). Give 7*a(t) + 3*p(t).\nAnswer: -2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46, -44, -38, -28, -14?\n\"Answer: 2*h**2 - 4*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6229 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2419 - 0.213. Let k = 0.0528 - q. Round k to three dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 6 + 3. Suppose -2*o = 4*a + c + 15, 4*o - a - 4 = 0. Suppose o*n + 119 = 2*n + 5*z, 4*z = -4*n + 220. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p**2 + 6*p. Let w(h) = -3*h**2 + 72. Calculate z(w(y)).\nAnswer: -90*y**4 + 4302*y**2 - 51408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 + 99. Suppose -3*i + 7 + 47 = 2*a, -18 = -i - 3*a. Calculate the lowest common multiple of i and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from qftffnfnf?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 - 7*v - 6. Suppose 0*f - f = -4. Let t be r(f). Let u be (2 + t\/(-5))\/(-2). Which is the closest to u? (a) -1\/6 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, r: 4}. Give prob of sequence ur.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 6:09 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + 23*g + 9. Let m be n(-5). Let q(z) be the third derivative of -41*z**4\/24 + z**3\/6 + 2*z**2. What are the prime factors of q(m)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**22\/(m**(-3\/5)\/m))\/((m\/(m\/m**(-20)))\/(m*m**(-4\/5)*m)) assuming m is positive.\nAnswer: m**(224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*z**5 - 23*z**3 + 9*z**2 + 7*z?\nAnswer: 360*z**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 12*a**5\/5 + 6*a**2 + 9. What is the second derivative of d(n) wrt n?\nAnswer: 144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -23749bb?\nAnswer: 23749b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-68) + 3\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Let y be -24*((-9)\/(-6) + m). Let j = 17 + y. Solve 3*c = 0, j*n - 14 = 4*c + 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*f + 29, 5*f - 13 = h + 8. Which is the second smallest value? (a) h (b) 0 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 842157 and 311910.\nAnswer: 8421570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 1}. What is prob of sequence bl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/3))\/v)\/(v\/v**15) assuming v is positive.\nAnswer: v**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/89673 and -91\/1494550?\nAnswer: 4483650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1777, 1757, 1737?\n\"Answer: -20*c + 1797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -2*d + 1\/6*d**3 + 4 + 3\/2*d**2. What is g(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdbdwgbggbb. What is prob of sequence ww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -4*k - 0*k + 4*i + 6, 145*k - 201*k + 1244 = 3*i for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2 - 4208*s + 4206 = 0. What is s?\nAnswer: 1, 2103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5810\/17 bigger than -343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y - 12. Let z = 5 + 5. Let x be z\/75 + 2\/y. Which is the biggest value? (a) -3 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/10 and (-5)\/(-10) - 67\/4 - -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -394 - -398. Is n - (7 - (0 + 2248)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 - 52*q**2 + 799734 - 799734.\nAnswer: 3*q**3 - 52*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020673 times 2.1?\nAnswer: 2143413.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 0.4, 1\/3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, p: 2, v: 7}. Give prob of sequence pnpn.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -6. Let g = 8.19 + -0.19. Let d = -7.5 + g. Which is the second smallest value? (a) f (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -135. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 56 + 6 = -5*m, 2*m = 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 127789.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 749 and 9107?\nAnswer: 974449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 19479294 divided by -6\nAnswer: -3246549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 + -5.08. Let p = 1.7 + -2.2. Suppose -2*h + 2 + 0 = 0. Which is the third smallest value? (a) z (b) p (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4748 - -7797. Let a(c) = -356*c - 4. Let i be a(-6). Let l = s - i. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 2, y: 2, z: 1, x: 1, q: 1}. What is prob of sequence pxz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -30732.46 - 22500457\nAnswer: -22531189.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 181126043 to the power of 1\/2, to the nearest integer?\nAnswer: 13458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*p + 88 - 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, 5 in ascending order.\nAnswer: 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006499874 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -i - d, 47 = -5*i - d + 14. Let k(f) = -f**3 - 7*f**2 - 6*f + 4. What is the units digit of k(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + 77. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzzofoffzz. What is prob of picking 1 f, 1 o, and 1 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/1092)\/((-1)\/3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 17bb59?\nAnswer: -17bb58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2381, -4979, -7635, -10379, -13241, -16251?\nAnswer: -19439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11400491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 822515861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -528992 - 6708.\nAnswer: -535700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2 = 3*b, 0 = 2*j - 4*b - 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + d = 4*u - 44, -4*u + 46 = d. What is the remainder when 45 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -58. Let j be 8\/v + (20\/6)\/5. Which is smaller: j or 26?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/48 + 5\/48. What is the second biggest value in 19, 3\/2, q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 145, 151, 161, 175, 193, 215, 241?\n\"Answer: 2*w**2 + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20573 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*c - 28 = -27*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12322 + 14000?\nAnswer: 31322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63947?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) + (-276)\/378. Let z = 295 - 299. What is the nearest to 0.2 in -0.3, z, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218534, 218239, 217944, 217649, 217354?\nAnswer: 217059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 7*a**2 - a + 7. Let x be c(7). Suppose 0 = -x*j + j + 3. What is the units digit of 2*14*j\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*u, 45*k - 281*k - 3*u = u + 1172 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -0.1 (c) -2\/7 (d) -2.2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8989\/19 - -473. Let l be (3 - (0 + 3)) + 1. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 2661.\nAnswer: 10644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180, -3\/8, 9, 4.\nAnswer: -3\/8, 4, 9, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/14832 and 77\/695250.\nAnswer: 5562000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 45 = -l - 4*k, -27 = -3*l - 5*k. Let m be ((-60)\/9)\/((-2)\/l). Suppose i = -4*i + m. Solve b = i*b + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (55 - -1)*(-1 - 2 - 1087\/(-362)). Do 0 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uummymymu. What is prob of sequence ymu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 459856572 to the power of 1\/3, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -1 - (14 - 6)) + -1. Let r be (-2)\/12 + (17\/p - -3). Solve 6 = -3*v - r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - 19?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24575 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-230)\/207*(-6)\/(-1))\/((-4)\/(-6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*j - 13 = 51*j - 2*k, -21 = -3*j - 6*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -407 < -401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyys when four letters picked without replacement from {s: 1, n: 4, y: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15095 is divided by 100?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times -14416?\nAnswer: -490144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 - -41?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 422123 and 977548.\nAnswer: 18573412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 3*r**2 + 0*r**2 + 3*r**2. Let p(i) = -5*i - 3*i + 0*i. Calculate p(a(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 1 = -29 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1 - 34483*y + 15*y**2 + 34483*y. Let b(r) = 2*r**2 - 10*r + 10*r. Give b(n(h)).\nAnswer: 450*h**4 + 60*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from vueev?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-27)\/(-6))\/(12\/80). Let h = t - 19. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - 1542*l + 135781. Calculate i(401).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99334*l**3 + 3*l**2 - 44630.\nAnswer: -596004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -1964?\nAnswer: -1964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1522311 - 67?\nAnswer: 1522255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 7*m**2 + m + 9. Let y be c(-7). Let q(j) = -2 + j + y. Let v(z) = -z**2 + 2*z**2 - z**2 - z**2. Determine q(v(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytcc when four letters picked without replacement from xccxtjjxxycccoc.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 9. Let k be d(-7). What is the third derivative of -6*h**k + 7*h**3 - 6*h**2 + 7*h**2 wrt h?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcvo when four letters picked without replacement from aycvcocaocacvyccc?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5234, -2, 0.4, -5, 3, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 524 - -1064. Let f(k) = -1585*k**2 - 5*k + 16*k - k**3 - 1 - 5 + b*k**2. Determine f(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 = -14. Let k(s) = 0*s**3 + 4*s**3 + 7*s**2 + 12 + s - 3*s**3. Let l be k(-6). What is the greatest common factor of l and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 2\/9 (c) 5 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - b**2 + 3*b + 3. Let s be r(-2). Let q be 2\/(-4)*s\/(-2). Let y = 58\/3 + -19. What is the third smallest value in y, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -439 and -439 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {g: 8, b: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49736 is divided by 129?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2614*t + 28702. Determine v(11).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -16*u - 10. Let j(k) = 24*k + 16. Let q(t) = -5*j(t) - 8*p(t). Let c(z) = -z**2. What is c(q(i))?\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 12*h + 68. Let r be i(21). Suppose 0 = r*x - 263*x + 4038. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*w + 307*w + 151 = -5*y, 2*y + 68 = w + 5*w for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 - 12*z - 2. Give h(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 680665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13754348 and 1060.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 2208?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7480 and 28407170?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/8*6*(-5)\/50?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1)\/((t**(5\/2)\/t)\/t*t*t))\/(t**0)**16)**(3\/22))**32 assuming t is positive.\nAnswer: t**(-168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**5\/7 - 20*t**4\/7 + 20*t**3 + 320*t**2\/7 - 1098*t\/7 - 180 = 0.\nAnswer: -14, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 16444*a**2 + 139*a - 35. Let p be m(-35). What is p rounded to the nearest one hundred thousand?\nAnswer: 20100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1435 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173 + -175. Let h(l) = 2*l**3 - l**2 - 2*l + 1. What is h(w)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.54528 centuries to millennia.\nAnswer: 0.254528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564387?\nAnswer: 3, 179, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -48 + 2 + 43.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -907 * -5\nAnswer: 4535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1334 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3669 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1196, -3888, -8366, -14630, -22680, -32516, -44138?\n\"Answer: -893*a**2 - 13*a - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11208 is divided by 2779?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 216*k - 211*k - 95, 5*k = 13*u - 193 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88903870 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 + 5. Let o(w) = 6*w**2 + 4. Let d(k) = 4*j(k) - 5*o(k). Let g(n) = -2*n + 18. Let f be g(7). Let b(y) = -y - 12*y + 6*y - f*y. Give d(b(i)).\nAnswer: -242*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f + 3*f + f. Let w be x(6). Suppose 0 = -3*c + c + w. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 795 and -27803.\nAnswer: -27008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 58*q**2 + 47*q + 310. Calculate the remainder when t(28) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**6\/240 + n**5\/16 - n**4\/4 + 4*n**3\/3 + 10*n - 22. Let c(v) be the third derivative of f(v). Let c(m) = 0. Calculate m.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 14*h**2 - 32*h - 137. Calculate w(11).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -74.402.\nAnswer: 14.8804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2345005 and 5590?\nAnswer: 2795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -14467*k**2 + 10*k - 185. Let f(z) = -245938*z**2 + 168*z - 3108. Calculate 5*f(d) - 84*s(d).\nAnswer: -14462*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4 + (-1 + 1 - 1)*(1 - 1 - 2))*(-5 + 5 - 2*o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2186*t = 2191*t - 5. Let j(y) = -y**3 - y**2 + 1. Let m(w) = w**3 + 3*w**2 + w - 5. Determine t*m(z) + 3*j(z).\nAnswer: -2*z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v*v**31\/v*v)\/v)\/v)\/v**0 assuming v is positive.\nAnswer: v**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/21364 and 11\/588.\nAnswer: 64092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in -2\/11, 233, 12, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -163*c - 223. Suppose -7 = n - 14. Let x(b) = 325*b + 441. Let j(w) = n*t(w) + 4*x(w). Differentiate j(g) with respect to g.\nAnswer: 159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - -343796166347.\nAnswer: 343796166373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(4*1 - (82 - 79)))\/(-254)?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11\/5)\/j)\/(j**(-1\/2)*j)*j**(-1\/4)\/j**4 assuming j is positive.\nAnswer: j**(-159\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m = -4*m + 161 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 10. Let y(q) = 8*q - 30. Let r(o) = 11*u(o) + 4*y(o). Let m be r(-6). Let h(z) = 4 + z + 3*z - 3 - 7*z. Give h(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-538)\/(-6)*6\/(-4)*-2. Let l = w - 91. Is (-2 - l)\/6*(-6)\/10 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 11170419?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.5, 14\/17 in ascending order.\nAnswer: -4, -0.5, 14\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4*j - 39, -4*y + j + 26 = -2*y. Calculate the remainder when 19 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4 = -f + 3, 0 = -5*u. What is f rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 - 48)*4\/10. Let q = n + 813\/35. Factor -3\/7*a**2 + q*a + 0.\nAnswer: -3*a*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 382162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 - 9*x + 4. Let t = 0 - -6. Let p be l(t). Suppose p = 7*i - 2*i. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -83, -159, -275, -437, -651?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 58*j. Let n(t) = 3*t - 11. Calculate n(g(r)).\nAnswer: 174*r - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21b602 (base 12) to base 9\nAnswer: 1010332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 230 = 3*b. Suppose 2*y - y = b. Suppose 41 = 5*o + i, -5*o = 2*i - 18 - 24. What is the remainder when y is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 2) in base 6?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.214 - 3.194. Which is the third biggest value? (a) 2 (b) 3\/5 (c) z (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 - 29*z**2 + z\/4 + 29.\nAnswer: -(z - 1)*(z + 1)*(z + 116)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027115 to six decimal places.\nAnswer: 0.000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4 - -3) + -3 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12 + 11 - 42 - 9*z + 17. Let t(p) = 13*p + 3. Give -7*g(s) - 5*t(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 y, and 1 m when three letters picked without replacement from hxlhmhhyihyyh.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-14))\/(68\/(-3332)*7*-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 299 + -299.477. Let l = -4.013 + 4. Let r = p + l. What is r rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4030*m + 4030*m + 1093*m**3 + 3*m**2 + (-2*m + m - m)*(-2*m**2 + 4*m**2 - 3*m**2).\nAnswer: 1095*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47483*h*n*p**2*s**3 + 9*h*n*p**2*s + 3*h*n*p**2 - 38*h*n*p*s**2 - 6*h*n*s**2 - 10*h*n - 2*h*p wrt s.\nAnswer: 284898*h*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6919021 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20 - 15824\/(-80))\/(3\/45). What is the greatest common factor of 243 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 652554945 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**4 + 5098*c**3 + 35784*c**2 = 0.\nAnswer: -7, 0, 2556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**5 + 2944*b**4 - 34968*b**3 + 156816*b**2 - 313092*b + 234576 = 0. Calculate b.\nAnswer: 3, 724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 4:51 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-2*18\/(-624)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562810.\nAnswer: 2, 5, 23, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - -7.7. Let n = t - 14. Let c be 2\/14*12 + (-12)\/6. Is n >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 11832.\nAnswer: 35496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 18 = -5*f - 0, -4*b = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1716753625 take away -157?\nAnswer: -1716753468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492904.\nAnswer: 2, 61613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(((-8)\/(-28))\/((-40)\/(-420))). Solve r = 5*u - 5, 0*p + 4*p = -3*u - 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 755906166*w**3 - 26*w**2 - 8397926 wrt w.\nAnswer: 4535436996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 17*j + 700. Determine r(-42).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*a + 311 + 38, -5*i = 3*a - 240. Solve -a + 45 = -10*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/784 - -971\/784. Let y be (-12)\/(-9) - (0 - -1). Which is the closest to y? (a) u (b) 5\/6 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2485*c**2 - 5339*c**2 + 3944*c**2 - 5908*c**2 to the form q + r*c + u*c**2 and give u.\nAnswer: -9788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-31))**15*(j**(-3\/7)\/j)**(-42\/11) assuming j is positive.\nAnswer: j**(-5055\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -48*c - 601. Let r(i) = 11*i + 150. Determine 2*g(v) + 9*r(v).\nAnswer: 3*v + 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 68*s - 11 = -0*p - 71*s, 5*p + s = -4*s + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 18.518504?\nAnswer: 18.818504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 5:52 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s = -84. Let o = 45 + 19. Let m = s + o. What is the greatest common divisor of m and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -611 - -395. Let h be (-1911)\/(-8) + (-27)\/l. Suppose 2*x + d = 163 + h, 4*x = 5*d + 776. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 60\/(-6) + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**3 - i**2 + 5*i + 2. Let w(b) = -2*b**3 + b**2 - b + 1. Let v(z) = n(z) + w(z). Is 19 a factor of v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 1. Let p(y) = -4*y**2 - 6*y + 9. Let s be 2 - ((-6)\/8 + 18\/(-8)). Let h(n) = s*i(n) + p(n). What is h(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2018*z + 2013*z + 24 = -4*u, -4*u - 4*z - 24 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/10540 and -89\/2820.\nAnswer: 1486140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 w, and 1 l when three letters picked without replacement from qpwldaq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 25 = n, 12*n - 8*n + 5 = y. Suppose 0 = 5*h, 3*u + 3*h - h - 12 = 0. Sort -2, u, n in ascending order.\nAnswer: -2, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 24*j + 247. What is the remainder when n(0) is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 + 1435 = 2*k - 5*n, 2*n - 1270 = -2*k. Calculate the greatest common divisor of k and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 8*p - 65. Let g = 45 + p. Calculate the highest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**5\/60 + r**3 - r**2. Let v be x(0). Suppose v*t = 3*t + 14700. What is t rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*w**2 - 3*w + 30 - 30 - 29*w**2 as m + r*w**2 + z*w and give r.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, c: 2, x: 1, r: 7, o: 4, n: 1}. Give prob of picking 1 n and 1 o.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(0 + 3) + (-17)\/(-1). Suppose y = 138 - t. Let u = y - 65. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/4041?\nAnswer: -4\/4041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8228 divided by 34\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3862926?\nAnswer: 2, 3, 214607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -65*k**3\/3 + 40. Let i(w) = -2*w**2. Give i(a(l)).\nAnswer: -8450*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3200 + 697.\nAnswer: 3897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1406*w + 6456*w - 9265*w - 8967*w - 9879*w)*(w**4 + w**4 + 0*w**4).\nAnswer: -46122*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - -70?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3\/(-66)*-2). Suppose -9 = -4*f + c. Let q be (f\/10)\/((-1)\/(-1)). What is the smallest value in q, -1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**7\/70 + i**5\/60 - 7*i**4\/6 - i**3\/3 + 8*i**2 + 5. What is the second derivative of m(p) wrt p?\nAnswer: -36*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cckck?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9168*o - 3*x = 9163*o + 5, -x = -5*o - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 + 1714*z**2\/3 + 3425*z\/3 + 1712\/3.\nAnswer: (z + 1)**2*(z + 1712)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 857447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -26*t - 34*t + 60*t - t**2. Let a(h) = -3. Let q(c) = 1 + 2 + 0 + c**2. Let y(b) = 3*a(b) + 3*q(b). Calculate o(y(m)).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -367580295*h**3 + 46516163.\nAnswer: -1102740885*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -28 + (2 - (-1 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + 24*x - 4426 - 47*x - 1313 + 23*x as d*x + f + p*x**2 and give f.\nAnswer: -5739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2884*r + 20180. What is x(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1399 + -1411. Let n(r) = -22*r**3 + 28*r**2 + 22*r - 12. Let x(j) = 9*j**3 - 11*j**2 - 9*j + 5. What is w*x(q) - 5*n(q)?\nAnswer: 2*q**3 - 8*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) + 3\/2. Let p(w) = -2 - o*w**3 + 2*w - 10*w**2 + w**2 - 10*w. Let s be p(-6). What is the greatest common divisor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s + 2. Let r be c(-2). Let m be 9\/(-6)*(-16)\/(-12) - -3. Sort r, 5, m.\nAnswer: r, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02172 and 292218493?\nAnswer: 292218492.97828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 10) + 2 + -9 + 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgf when three letters picked without replacement from {f: 4, l: 4, g: 9, w: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4, -3*d - 4*c = 2*d + 436. Let u be 28\/d*(-6 + 0). Solve -2*v = -5*w - 6*v - 13, -5*w = -u*v + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11719079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 194749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, v: 5}. What is prob of picking 1 v and 1 f?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 3*i + 15. Let v(w) = 2*w - 4*w + i*w - 2*w - 5. Determine v(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*i - 1 - 334*i + 87*i.\nAnswer: -578*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*z + 5*w - 17, 2*z + 4*w = 4. Sort z, 0, 5, 4 in ascending order.\nAnswer: z, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33*3 - (0 + -1). Let b be -1 + 18\/10 - (-6448)\/65. Are b and h non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -216*f + 1177. What is c(20)?\nAnswer: -3143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**6\/120 - d**5\/60 + d**3\/3 - d**2. Suppose 6*m - 12 = 2*m. What is the least common multiple of 12 and k(m)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3)*(4 - 3). Let l = -0.13 - -10.13. Let q = l + -9.7. What is the nearest to -0.1 in q, o, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739326685 to the power of 1\/3, to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.144 - 35.144. Let l = -38 - g. What is the closest to 3 in 0.5, l, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549 - 492 + 2197 - 525 - 534 + z.\nAnswer: z + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/63)\/(4\/6).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/6)\/((-2)\/(-12)). Let a(n) = -n + 2*n - 2*n - o*n. Let s(h) = -2*h. Determine a(s(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 19*q + 11. Let s be i(-19). Which is smaller: s or 12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - a = -4*a - 634, 4*a + 637 = 5*m. Suppose 3*q = 8*q - m. Calculate the greatest common factor of q and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -50. Let m(h) = -h**3 - 5*h**2 + h + 4. Let r be m(-5). Let d be r - ((-1)\/4 + -1). Which is the third biggest value? (a) d (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152012 by -4.\nAnswer: 38003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327085107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 14 = 4*n, -23 = -3*i - 4*n - n. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*g + 365 = 0, 3*u + 148 = 3*g - 215. Let a = 185 + u. Suppose -3*x + 7 = -44. Calculate the remainder when a is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/3)*s)**(-34)*s**(-6)\/(s*s\/(s**(2\/9)\/s)*s)*(s**(-1\/4))**40*(s**(1\/3)\/s)**6 assuming s is positive.\nAnswer: s**(-622\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + d + d**3 + 0*d - 4 + d**3 + 100442*d**2.\nAnswer: 2*d**3 + 100442*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1184, 2267, 3268, 4187, 5024, 5779?\n\"Answer: -41*s**2 + 1206*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xntnmmnmnnmvtvvvrrtm. Give prob of picking 1 x and 2 t.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + d + 3*d + (93 - 31 - 44)*(4 - d - 4).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 14)\/(66\/9 - 4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cchcchc. Give prob of picking 1 c and 1 h.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*r - 124. Let u(a) = -a**3 - 5*a**2 - 5*a - 4. Let d be u(-6). Differentiate 16*o + r*o - d*o + 7 with respect to o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23747595?\nAnswer: 3, 5, 331, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3703*m + 1551*m = -78810 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + (7 - 13 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55124.57 litres to millilitres.\nAnswer: 55124570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 637 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -58579 - 2.05?\nAnswer: -58581.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -84, -0.02, 85\/19?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*2\/4*0. Let x(i) be the first derivative of i**2\/2 + i + 2. Let q be x(1). Solve -q*v + v = z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 - (80\/12)\/20. Which is the nearest to o? (a) -0.4 (b) -0.5 (c) -1\/127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27 - 13*j**2 - 10 - 21*j**2 + 12 wrt j?\nAnswer: -68*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4*j*j*j**(-4)\/j)\/(((j**(-2\/3)*j)\/j)\/j**(-5)) assuming j is positive.\nAnswer: j**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/102)\/(-7)*17?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6431177 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 101011111110?\nAnswer: 101011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -25, -39, -59, -85, -117?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + w + 104, 4*w = 3*v + v + 416. Let i = v + 118. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)*x)\/x**(5\/9))**8 assuming x is positive.\nAnswer: x**(-256\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -7*k + 910. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 26. Let o = v - -10. List the prime factors of (-9)\/o*-2 + 12.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) - (-1*sqrt(136) - sqrt(136))*-4)*3)\/((sqrt(72) + sqrt(8))*-1*-1))**2.\nAnswer: 7497\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 28. Suppose 0 = 2*s - 4*s - 4*g + 614, s + 4*g - 315 = 0. Suppose -u = -3*w + s, -2*u - 2*u + n*w - 1175 = 0. Round u to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 v, and 1 a when four letters picked without replacement from ooooavgd?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/5 - ((-8)\/96 + (-2)\/48*70)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c**3 - c**3 - 44*c**3 + 72*c**3 + 56*c**3.\nAnswer: 108*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:08 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 239, -1\/6, -4, -587 in decreasing order.\nAnswer: 239, -1\/6, -4, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/12 - 118\/(-8). Suppose -4*a + 40 = 6*a. Suppose -a*x = -7*x + 9. Solve -o = -x*l - 0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/45 + (-219)\/(-27). Let g(i) = 4*i + 10 + i**3 - 19*i + 0 - c*i**2 + 3. Is g(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 128, 255, 382, 509, 636?\n\"Answer: 127*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 1. Let b(k) = 15*k + 15. Let m(q) = q**2 + 5*q + 2. Let i be m(-4). Let w(j) = i*b(j) - 33*l(j). Differentiate w(s) wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2355, -2343, -2331, -2319?\nAnswer: -2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -47*y + 44. What is the units digit of z(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 1 - (-11 - (-1 + -17))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 88. Factor 1\/2*w**3 - 1\/2*w**2 + 0 + 1\/2*w**m - 1\/2*w.\nAnswer: w*(w - 1)*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 64 = 27*k. Let v(d) = -6*d. Let s be v(-5). Let r = k + s. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**6\/120 - t**5\/80 + 5*t**4\/48 - t**3\/8 + 9*t. Find f such that z(f) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -2. Suppose 5*u + z - 19 = 0, 3*z - 2*z = 4. Calculate the remainder when v is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16746661 + -5?\nAnswer: 16746654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/36 and -3 + (-8 + 10)*(-1)\/(-96)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51\/868 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 355.306 decades in millennia?\nAnswer: 3.55306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142979311.\nAnswer: 157, 769, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1862.009us to nanoseconds.\nAnswer: 1862009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2 = 2*z, -3*z + 2*a - 21 = -3*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + -3 - -2 - 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - ((-15)\/(-25) - (-407)\/30). Let h = q - -13. Which is the closest to -0.1? (a) 4\/3 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 20*w**2 - 38*w + 44. Let j be o(18). Solve r + p = j, -3*r + 4 = -p - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -8, 14 in descending order.\nAnswer: 14, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 903352561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2201 (base 10) to base 7.\nAnswer: 6263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 217475?\nAnswer: 21747.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + -5 + (3 - 0). Suppose -f = t*v - 141, -2*v = 3*f - 32 - 14. What is the remainder when v is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h + 1. Let a be t(1). Let v be (-69)\/(-15) + (-4)\/a. Solve 0*p = v*p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1271101 + 3916153 + 5018488 = 362*o. Is 351 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3876*i - 22277. Calculate r(-6).\nAnswer: 979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c - 3. Suppose -r - 15*k + 18*k = -13, -3*r + 2*k = -39. Calculate the remainder when r is divided by x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2 (c) -0.93 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273 and 23115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2861*r**3 - 2500*r**3 + 6668*r**3)*(-2 - 1 + 1)*(4*r - 2*r + r) to the form w*r + h*r**4 + u*r**3 + b + c*r**2 and give h.\nAnswer: -7842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n + 2*n)*(-4*n**4 + 3*n**4 + 2*n**4) + (-36*n**2 - 8*n**2 - 12*n**2)*(-n - 2*n**3 + n).\nAnswer: 114*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -30\/43 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 70 = -5*f, -f + 788 - 846 = 10*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -56889834800 rounded to the nearest one million?\nAnswer: -56890000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 9:03 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3 - 3 + 2*x + x. Let q = 8 + -8. Suppose -2*c + 0 - 8 = q. Calculate m(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 225776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o)**(-6)\/((o\/((o**(2\/13)*o)\/o*o))\/o**0) assuming o is positive.\nAnswer: o**(-76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -16*j - 8. Let u be t(7). Find the common denominator of 47\/7 and (-4)\/(-3)*u\/25.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 855*b**4 - 3*b**3 - b**2 - 600*b - 1.\nAnswer: 20520*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -131*t**3 + 3*t**2 - 7*t + 6. Give c(1).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 9*k = -15. Let g be 16\/10*k\/(-2). Suppose 2*p + 13 + 3 = 5*q, -1 = g*q + 3*p. Calculate the highest common factor of 3 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1242.4 and -0.2.\nAnswer: 1242.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*n**3 - 2*n - 43*n**3 - 47*n**3 as f + i*n**2 + k*n**3 + o*n and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 627.014 milligrams in tonnes?\nAnswer: 0.000000627014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 34 = 40*t. Put t, -2, -5, -86 in decreasing order.\nAnswer: t, -2, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 n, and 1 e when four letters picked without replacement from ncerrnnnneenerreere.\nAnswer: 175\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -70, -104, -146, -196, -254?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g**2 + 42*g**3 + 2 + 8*g - 3*g - 41*g**3. Let z be (0 - -1) + -1*5. List the prime factors of h(z).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (19 - 16) + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 1:35 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (50036\/3577 - 14)\/((-108)\/(-252))\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -26. What is the smallest common multiple of -4*(0 - 5\/2) and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -7.946.\nAnswer: 55.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*g = -3*g - 110, 3*g = -2*r + 24. Factor -13*l**3 + 6*l**4 - 4*l + 0*l + r*l**2 - 4*l**2 - 3*l**3.\nAnswer: 2*l*(l - 1)**2*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/81612 and -22\/81.\nAnswer: 734508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 26319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/3328 and 93\/22?\nAnswer: 36608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -810077415 by 38575115.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -88. Let f = -0.0693 + 63.4493. Let q = n - f. What is the third biggest value in 0.4, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 55024 and -4?\nAnswer: 55028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-12))*x)\/x**(5\/2)*x\/(x\/((x**(1\/7)\/x)\/x))*x**(-13)*x)**15 assuming x is positive.\nAnswer: x**(-705\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3154, -3104, -3074, -3070, -3098?\nAnswer: -3164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.046 + 31.946. Which is the third biggest value? (a) 0.4 (b) 1028 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*g = 5, -2*g - 10 = -4*g. Let j = -8 - v. Solve -5*d - 17 = 2*f, f + 12 = -j*f - 3*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 562715.1 millilitres?\nAnswer: 562.7151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1260150 and 123275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2703260099?\nAnswer: 2703260099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3226 + 54879\/17. Which is smaller: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -2\/2593 (c) 2 (d) -130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + -5. Let g be -23*(c\/(-2) + -5). Suppose -3*i = 9, -3*p + 5*i - g - 4 = 0. Which is bigger: -15 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -210, 2, -4, 4 in decreasing order.\nAnswer: 4, 2, -4, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*o**2 - 130*o**2 - 306*o**3 - 133*o**2 + 586*o**2 - 134*o**2.\nAnswer: -306*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 4461611?\nAnswer: -4461614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 717 and 126?\nAnswer: 30114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**3 + 12*d - 7*d**2 - 6*d + 5*d**3. Let z be a(6). Suppose z = 7*y - 6*y - 87. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-9) + 10\/(-15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d. Let r(l) = -15*l. Let n(c) = -9*a(c) - 4*r(c). Let f(v) = -14*v. What is f(n(x))?\nAnswer: 42*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 79d + 1c?\nAnswer: 7ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/457464 and -9\/59906?\nAnswer: 5032104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 266\/624 - (48280\/79560 + 10\/(-18))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0006 times 9437\nAnswer: -5.6622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5279867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 96, 2, -0.3, -9, 6.1, 0.3 in increasing order.\nAnswer: -9, -0.3, 0.3, 2, 5, 6.1, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41dc8 (base 14) in base 10?\nAnswer: -159132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(-1)))\/s*s*s**14)\/(s**(-13)*s**12) assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 30*h**2 - 3*h. Let j be k(-3). Let f be j\/99 - 2\/(-11). Let o be -1 + (-1 - (-20)\/9). What is the third biggest value in f, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*p + 5*q - 5, 0 = 5*p - 5*q. Suppose l - 1 = p. Let y be l*(-4 + 2 + 1). Do -10\/13 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2373 and 220689.\nAnswer: 220689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**22*d**(-1\/7)\/d*d assuming d is positive.\nAnswer: d**(153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -304*k**5 + 260*k wrt k?\nAnswer: -6080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 79740601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j. Let w(z) be the third derivative of 0*z + j*z**3 - 1\/30*z**5 + z**2 + 0*z**4 + 0. Let b(q) = 4*q**2. Give w(b(x)).\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 3966319?\nAnswer: -5\/3966319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2691 and -1303413.\nAnswer: -1303412.7309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 634.1 + -634. Let l = -48.7 + 53. Let t = 4 - l. Which is the nearest to t? (a) 3 (b) -2\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 22 + 14. Let u(x) = -4 + 6*x - 2 + q*x**2 - 8*x + 5*x. Let o(n) = 3*n**2 + n - 2. Determine -7*o(i) + 2*u(i).\nAnswer: -3*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39312 and 204309.\nAnswer: 42496272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 197701.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-18) + (-235)\/(-45). Let i(q) be the third derivative of -1\/120*q**6 + 0*q + 4*q**2 + 1\/12*q**a + 0 - 1\/24*q**4 - 5\/6*q**3. Calculate i(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 245 + -1224\/5. Suppose 1\/5 + 1\/5*a - 2\/5*a**2 + l*a**5 - 2\/5*a**3 + 1\/5*a**4 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*g**2*y + 2*g**2 - 1592*g - 176170*y wrt g?\nAnswer: -44*g*y + 4*g - 1592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.08 - 0.02. What is d rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/650 and -37\/275.\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 + s - 244. Calculate q(-12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2 = 4*i - 3, 4*k = 4*i + 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 38, -4, -3, 35, -5, -27 in descending order.\nAnswer: 38, 35, 5, -3, -4, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n - 5*n**2 - n**2 + 0*n + (-3*n + n + n)*(-2*n + 0*n + n).\nAnswer: -5*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -95007636 and 349?\nAnswer: 95007985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u + 2. Let h(n) = 8*n + 2. Calculate 7*g(i) - 6*h(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30, 52, 82, 120, 166, 220?\n\"Answer: 4*h**2 + 10*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3.2. Let i = 66.066 - 66. Let f = i - 3.066. What is the smallest value in x, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h*j**3 + 10*h*j**2 + 3*h - 248*j wrt j?\nAnswer: -18*h*j + 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/8714 and -41\/17428?\nAnswer: 17428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-24)\/72*-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001340943 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n*(n**(1\/4)\/n)\/n*n)**(-2\/11)*n*n**(-4)*((n*((n**(-2\/7)\/n)\/n)\/n)\/n)\/n*n*((n**(2\/7)\/n)\/n**(-4))**36 assuming n is positive.\nAnswer: n**(2451\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7670 - 5787. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3422 + -3421. Put f, 169, 4, -2 in descending order.\nAnswer: 169, 4, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -2*j**4 + j**2 - 284. Let g(f) = 24*f. What is -5*g(w) - 2*t(w)?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/sqrt(4)*-2 - sqrt(19)) + (2 + sqrt(19) - sqrt(19))*6 + sqrt(19))**2.\nAnswer: -48*sqrt(19) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = h - 9, -3*h + h - 17 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112288022 is divided by 149518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9558 and 35492742?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 2. Let i(f) = -f**3 - 6*f**2 + 6*f - 4. Let r be i(-7). Suppose 3 - 9 = r*w. Let c(o) = 4*o**2 - 5. Determine w*c(n) - 5*p(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232562, -930305, -2093220, -3721307, -5814566, -8372997?\nAnswer: -11396600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -70030 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251, 488, 715, 926, 1115, 1276, 1403, 1490?\nAnswer: 1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 25, -4*k - h + 11 + 2 = 0. Factor -d + 3*d - 8*d - 4*d - 5*d**k.\nAnswer: -5*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(24)\/(-1*sqrt(12))) + sqrt(800))*1.\nAnswer: 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 391656 or 391683?\nAnswer: 391656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:56 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = z - 2*p, 3*z = z + p + 5. Suppose -5*t = 2*q + 17, -5*t - 7 = -z*q + 30. Let u be 4 - (q\/(-2) - -1). Solve 4*l = -5*b - 29, b + b + 15 = -u*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-7)\/(-21))*(-10)\/(-735).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 14, 13, 6, -7?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1584, 1, -1.\nAnswer: -1, 1, 1584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elervlllve. Give prob of sequence vr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + -69 - (6 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-10))\/(-1 - 5)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -19.7267?\nAnswer: 59.1801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 10*m**3 - 15)*(-2 + 1 + 0)*(4*m + 0 + 0) + 3*m**4 - 7*m**4 + 3*m**4.\nAnswer: 39*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1961, 3909, 5857, 7805, 9753?\nAnswer: 11701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -5. Suppose -3*z + 8 = z. Suppose -3*y + 3*o - 6 = z*y, 2 = -5*y + o. What is the closest to y in 1\/3, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21134 less than or equal to -21111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((4 + 1 + sqrt(171))*-4 - (sqrt(684)*1 + 1 + 5*sqrt(684)*-1))**2.\nAnswer: -504*sqrt(19) + 3178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as -40142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 70*s = -68*s - 41, 31 = 6*v - 5*s + 127 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2841495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 w when four letters picked without replacement from zzzwwzzzzzzzwzzzzww.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -35, -11 in ascending order.\nAnswer: -35, -11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9832.823 years to decades.\nAnswer: 983.2823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 532.37 + 0.63. Let z = p - 533.409. Let g = -0.40899823 - z. Round g to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -220*m + 9. Let h be y(0). Put -0.2, h, -0.039 in increasing order.\nAnswer: -0.2, -0.039, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -81, -20, -5.\nAnswer: -81, -20, -7, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25553.87 nanometers in kilometers?\nAnswer: 0.00000002555387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1145, -2669, -4563, -6827, -9461, -12465, -15839?\nAnswer: -19583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/50638 and -41\/5.\nAnswer: 253190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -14 + 4. What is the remainder when (-3740)\/(-204)*(-12)\/(-10) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2948089\/2 - 1717*u - 1\/2*u**2 = 0.\nAnswer: -1717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122586 is divided by 1442.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 + (-69 - (-7 - 149)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -84, -3, -5, 4 in decreasing order.\nAnswer: 4, 1, -3, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 15*o**3 + 5*o**2 - 18*o - 44. What is a(-2)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 271812 (base 9) in base 4?\nAnswer: 220120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 2:25 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -0.5, -2\/27, 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 236 - 237.876. Let x = 92.024 - m. Let j = x + -88. Round j to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 917908 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 24.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 15*u + 8. Let x(z) = 46*z + 23. What is -17*o(c) + 6*x(c)?\nAnswer: 21*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + sqrt(112)*3 + sqrt(112) - sqrt(112))*-5 - sqrt(112))\/sqrt(7)*6)\/(sqrt(16)\/sqrt(8) + 2*sqrt(648)).\nAnswer: -252*sqrt(2)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g + 448 = 43*g - 33*g - 12*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -278508.48 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/69580600 and -47\/156556350.\nAnswer: 626225400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 306, 439, 576, 723, 886, 1071?\n\"Answer: g**3 - 4*g**2 + 138*g + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 325+14\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2916 = -47*c - 441 - 407 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/4)\/((-576)\/768). Put 2\/3, -3\/94, 2, z in decreasing order.\nAnswer: 2, 2\/3, -3\/94, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*d + 2 = 49, 519*s - 4*d + 36 = 515*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzll when four letters picked without replacement from lfzflllfl.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6152, -6414, -6676?\n\"Answer: -262*r - 5890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4184935 is divided by 52311?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22110 = -15*y + 24090. What are the prime factors of y?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 586623 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 4262 (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 greater than -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + sqrt(8))**2*2 - (-2 + sqrt(20)\/(sqrt(30)\/sqrt(3)) + -2).\nAnswer: -33*sqrt(2) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 201367952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -303 or -304?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 30 = -11*p. What is the lowest common multiple of 16 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/25*(-30)\/81.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Let z be (4 - d)\/((-2)\/(-1)). Let k(r) = -3*r**2 + 2*r**2 + 3*r**z. Let n(m) = -3*m. Give n(k(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 27)*(-12)\/42*(-84)\/48.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 7 - (2 - (-6 + 2))) + 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3273 + 6546 + 19*h - 3276 + (4 - 6 + 0)*(-h + 2*h - 2*h) + 2*h + 1 - 1.\nAnswer: 23*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3*p = 0, -6*o - p = -2*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.1966 + 87.3181?\nAnswer: 183.5147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-48) - (-63)\/8. Let f(v) = -v**3 + 3*v**2 + v + 3. Let u be f(3). Let b = u + k. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43635 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**3 - 5*u + 4. Let x be v(3). Let s = -201 - x. Which is the nearest to 0.08? (a) s (b) 2\/13 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.200559mm?\nAnswer: 0.001200559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -168*g + 170*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -51. What is the remainder when -1 - 574\/(-9) - (-4)\/18 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75938855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*i**3 - 250265*i**2 - 521958940*i - 86986205.\nAnswer: -5*(i + 4171)**2*(6*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 582, 0.1, -1, 3 in ascending order.\nAnswer: -1, 0.1, 3, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b69 + -33?\nAnswer: b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-1 - 6) + 7 + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38, -15.73, 12\/11?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28737285.\nAnswer: 3, 5, 829, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 787559, 1575117, 2362675, 3150233, 3937791, 4725349?\n\"Answer: 787558*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 25429 = 3*m + 6938, 7391 = 2*n + 3*m. What is the greatest common divisor of 80 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56263, 42787, 29311, 15835?\nAnswer: 2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(1584) - (1 + sqrt(1584) + sqrt(1584))) + 2 + ((sqrt(1584) - (sqrt(1584) - 2*sqrt(1584))) + -2 - sqrt(1584)))**2 + 3)*5*5.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 36638166, 36638170, 36638174, 36638178, 36638182?\n\"Answer: 4*k + 36638162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 51.8. Sort -0.08, -1\/2, p in descending order.\nAnswer: -0.08, p, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l - r + 75, -5*l + 4*r = -75. Suppose -2*q + 22 = 2*q + 3*i, -q = -4*i - l. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u + 0*u)*(-6 + 10 + 0)*(5 - 5 - 1).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22082?\nAnswer: 2, 61, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*(-10)\/245*-7. Solve 23 = -o - 2*o - 4*v, -2*v - 14 = s*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.6 + 70.6. Is -215.5 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*m = 12, -4*y + 0*y - 14 = -2*m. Let f be y - -3 - (0 + 72). Let d = f - -126. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 21910253*n. Let d(o) = -6*o. Give d(p(v)).\nAnswer: -131461518*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/81 and 0 - -1 - (-15)\/36*10.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*o**3 - 5*o + 37*o**3 - 7 - 11*o**2 + 5 as v*o + t + b*o**3 + h*o**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1253622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6041074 and 6954.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27260 = -43*x + 31908. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*k + 2830*a**3 - 162*a**2*k - 56421*a + 586*k wrt a.\nAnswer: 6*a*k + 16980*a - 324*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**2 + 4*d - 2. Let j(u) = -u**3 + 5*u**2 + u - 9. Let i(y) = y**2 - 14*y + 51. Let p be i(8). Let z be j(p). Let l be 48\/z*(-2)\/(-4). Give n(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -19. Let a = 21 + d. Suppose -5*p = -34 + a. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from uuv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/56)\/((-2)\/(-12)). Let o = 5 + -4.8. What is the second smallest value in y, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + (sqrt(475) + -2*sqrt(475) - (-5 + sqrt(304))) + -2)**2.\nAnswer: -144*sqrt(19) + 1599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*d - 19. Suppose -k + 3 - d = 0, 2*x = k + 11. Suppose q = 0, 0 = -4*i + 3*i - x*q + 257. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 93\/4 of a millennium?\nAnswer: 2325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2, 2\/5, 3\/295?\nAnswer: 3\/295","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*c**3 + 2 - 13*c**3 + 7*c**3)*(-c + c + 2*c).\nAnswer: -52*c**4 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 8239742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g + 6*g - 29 - 22 + 7. Let y be c(6). Solve y*f + 4*x - 12 = -x, 14 = -5*f + x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 5) + (-4)\/(-2). Suppose -4*x - 4*f + 40 = 0, i*f = -x + 12 - 3. Calculate the lowest common multiple of 25 and x.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/3, 5, -2\/193, 1, -4\/9, -2\/11, -1007?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29067.066 + 29041. Let r = s + 0.066. Let q = r + 30. What is the second biggest value in -0.9, q, -4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 177 = -3*d, -4*l - 255 = l + 3*d. List the prime factors of 21*(-48)\/l*21.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five eighths of a millennium?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(-160*(-49)\/25872*11).\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -34 - (4 - (29 + -34)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-21)*a**9*(a*a*a**10)**(6\/7))**(3\/10) assuming a is positive.\nAnswer: a**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*f**2*l + 94*b**2*f**2 + 2*b**2*l + 2*b*f**2 + 10*b*l + 3*b wrt b?\nAnswer: -4*f**2*l + 188*f**2 + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*c**4 - 2*c**3 - 382*c**2?\nAnswer: 1008*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 2 - ((3 - 4) + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/9)\/(3\/((-27)\/(-6))). Let o be ((-2)\/32)\/(19\/38). Let f be 27\/54*0\/2. Put r, o, f in increasing order.\nAnswer: o, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -12. Solve 5*a + 0*a + 15 = w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(931))*-4*4*-1)**2.\nAnswer: 57344*sqrt(19) + 3817472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 + (-17)\/(-5). Suppose 24 = -z*u - 0. Let b be (6\/4)\/((-6)\/u). Let m(t) = t**2 - 3*t - 2. What is m(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/175004 and 37\/22?\nAnswer: 1925044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 51*o**3 + 180*o**2 - 12*o - 240.\nAnswer: -3*(o - 2)**2*(o + 1)*(o + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4440*-0.2\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.007 and -20.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 5*j**2 - 9*j - 3. Let p be r(-6). Suppose -3*f + 15 = 2*c - p, 0 = 5*c - f - 109. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 6 = -45*a - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 20. Let l be j(11). What is the third derivative of 2*k**6 - l*k**2 - 2*k**2 + 3*k**2 + 3*k**2 wrt k?\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (1 + -18)\/(0 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.10413 times -0.6\nAnswer: -0.062478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 22. Let u = p + -6. What is the closest to -1 in -1\/9, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.991 * -717\nAnswer: -710.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 4*r - 798.\nAnswer: 2*(r - 21)*(r + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 8 - 17 = 3*a, -4*z = 20. Let u be 2\/4*(-24)\/(-2). Suppose -u = -2*d - a*d. Let r(g) = g - 4. Determine r(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322740487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 21\/(87\/21 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 8 + (-104)\/12.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 0.2204743\nAnswer: -1.5433201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*l**3*z**3 + 33*l**2*z**3 - 1614*z**3 wrt l?\nAnswer: -117*l**2*z**3 + 66*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 167159401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -16 - (12 + -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8755 (base 9) to base 3\nAnswer: 22211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**5\/120 - 5*q**3\/6 + q**2. Let d(g) be the first derivative of u(g). Determine d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 28 = -0*s + 4*s, 0 = b - 4. Suppose 15 = y + s*o, -2*o + 0*o + 10 = 2*y. Factor -2*t**5 + y*t**5 - 12*t**3 - 2*t + t**2 - 8*t**4 - 9*t**2.\nAnswer: -2*t*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**6\/66 - 3*f**4\/44 - 2*f**3\/33 - 1. Factor p(i).\nAnswer: i**2*(i - 2)*(i + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*x - 23, 0 = -3*q - 0*x + 5*x + 16. Suppose q = b - 11. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1183875 - -0.698388072. Let u = -1.42 - s. What is u rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h*(h**(-3)\/h)\/h*h*h*h*h**2*h)**(-10) assuming h is positive.\nAnswer: h**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*c + 1049, -38*c - 2*w = -35*c - 785. Let i be 410\/14 + 4\/(-14). What is the greatest common divisor of i and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -344*w**3 + 460*w + 2. Let y(n) = n**2. Determine q(y(d)).\nAnswer: -2064*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**4\/2 + 4*y. Let h(w) be the third derivative of -4*w**2 + 0*w**3 - 1\/60*w**5 + 0*w + 0*w**4 + 0. Calculate z(h(u)).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = -5*b + 19, 2*b - 5*f = 20. Let c = 81 - 28. Suppose -4*h - b = -3*s - c, -4 = s. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((0 + sqrt(13) + -3 + (-1 + sqrt(13))*5)**2 - (sqrt(13)*-4 + 5)*-4).\nAnswer: -112*sqrt(13) + 555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15028, 14968, 14910, 14854?\n\"Answer: s**2 - 63*s + 15090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309 - 14*t + 5*t - 68.\nAnswer: -9*t + 241","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -6*j - 0*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6492, 6517, 6574, 6675, 6832, 7057?\nAnswer: 7362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**5 - 41*v**4 + 106*v**3 - 112*v**2 + 50*v - 7.\nAnswer: (v - 7)*(v - 1)**3*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*q + 4. Let a(r) = r + 1. Let v(z) = 2*z**2 - 4*z - 4. Determine q*v(p) - 4*a(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4962198646?\nAnswer: 2, 17, 4229, 34511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/d**(-6\/7)))*d\/(d\/(d*d**4)))\/((d\/(((d**(2\/11)\/d)\/d)\/d))\/(d*d*d**(3\/5)\/d*d*d*d)) assuming d is positive.\nAnswer: d**(2941\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11368*s**3 + 10197*s**3 + 1168*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/17972 and -57\/9588062.\nAnswer: 19176124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -367 + 367.2. Let j = 15.9 - 16. Put -0.02, j, f in decreasing order.\nAnswer: f, -0.02, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0756 and -21390840879.\nAnswer: -21390840878.9244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/326831 - 45432869\/274538040. Find the common denominator of h and 31\/30.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-5 + 19) - -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/5556 and -127\/420?\nAnswer: 194460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406482*v + 191970 = -407904*v for v.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 2500*n - 174724. Give k(68).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -460200 divided by -12\nAnswer: 38350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/c**2*c)**(3\/22)*(c**(2\/7))**4)**6)**(11\/4) assuming c is positive.\nAnswer: c**(327\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 98.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*h + 10*h + 28*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 4, 2, -282398 in descending order.\nAnswer: 4, 2, -1, -5, -282398","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 2029901958538.\nAnswer: 2029901958535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 g when two letters picked without replacement from {s: 2, l: 2, g: 1, b: 3, c: 1, m: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 225\/13994?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 5:13 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((105\/(-14))\/(18\/(-8)))\/((-742)\/159)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 25. Let z(f) = 14 + 99*f**2 + 4*f - 98*f**2 + 2*f. What is the remainder when j is divided by z(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19887)\/2079 - -10 - (-1)\/9?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 5*b**2 + 6*b**2 - 3*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 72c + -29a23?\nAnswer: -292c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 977487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, t: 6, u: 4}. What is prob of sequence utut?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.81 minus 2052668163545?\nAnswer: -2052668163542.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -3*n. Let g(p) = -p**3 + p + 9. Is g(n) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 1 + 1)*((-4 - 2 + 5)*(2 + 13 - 3) + 42 - 12 + 12).\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -547*a**2*f**2 - 8*a*f**2 + 64*a - 10*f**2 wrt a?\nAnswer: -1094*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let p be h(1). Is -133*(p - -2 - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((5 + (sqrt(1872) - (2 + sqrt(1872))*4))*2 - (1*(-3 + sqrt(1872)) + sqrt(1872) + -1*sqrt(1872)*2)))**2.\nAnswer: 720*sqrt(13) + 67417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168552 = 3*c - 2*l - 24757, 0 = 4*c + 4*l - 257712. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 3423. Let g(u) = 2*u**2 + 13*u. Calculate g(x(n)).\nAnswer: 2*n**4 - 13705*n**2 + 23478357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p**3 + p**2 + p + 1. Let n be 4\/(-2) + 12 - 1. Let z = 8 - n. Give q(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1895 - 2*y - 1895. Let j(b) = 52*b - 4. Let l(r) = -50*r + 6. Let d(o) = -6*j(o) - 4*l(o). Give d(u(m)).\nAnswer: 224*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 58, -1, 307, 7.\nAnswer: -1, 4, 7, 58, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.708 - 15.992. Let o = 629232.70447 + -629214. Let v = o + n. What is v rounded to 4 decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31075433549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -746 - -745. Let g(j) = -17*j + 1 + 3 - 5. Let i be g(t). Calculate the highest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10371 + -18767. Let o = -3955169779\/34 + 116320128. Let a = w - o. What is the common denominator of a and 99\/8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74792896*q**6 - 130863369*q**2 wrt q.\nAnswer: 8975147520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 112, 226, 340, 454?\n\"Answer: 114*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -2\/17 (c) 3\/5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 8:50 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0, -5, 3326 in descending order.\nAnswer: 3326, 4, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -4539*r**2 + 4538*r**2 - 1 - 7*r + 0 + 0*r. Calculate x(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b - 14. Let u be x(-6). Let a(i) = i + 1. Let c be a(u). Solve 2*y = -4*v - 16, y + 12 = 2*v - c*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1011240021 + 5?\nAnswer: 1011240030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1637, -3602, -5567, -7532, -9497?\n\"Answer: -1965*d + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5\/4, -0.047, 148285 in decreasing order.\nAnswer: 148285, 1, -0.047, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 50*z + 48. What is v(-26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -11, -25, -45, -71, -103, -141?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2199 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 8*z + 72. Let l be d(-9). Let k = 351 - l. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -49*t**8\/60 - 14*t**7\/15 + 469*t**6\/75 + 1448*t**5\/75 + 368*t**4\/15 + 256*t**3\/15 + 37*t**2. Find r, given that s(r) = 0.\nAnswer: -1, -4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*i**3 + 4*i**3 - 823*i**2 + 258*i**2 - 38*i**2 in the form q*i**3 + u + r*i + a*i**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 - 96.99947. What is g rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/45998 and 29\/15.\nAnswer: 689970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 24. Suppose m*a - 2*f = 508, 3*a - 3*f = -a + 1016. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1715, 3241, 4767, 6293, 7819?\n\"Answer: 1526*r + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.064 + 3.064. Let w = -2349.962 + 2350. Which is the third biggest value? (a) w (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*(1843\/(-2) - 1). Suppose -11607 - s = -32*i. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**6*b)*b**(-4))\/((b*b**(-2\/13)*b)\/b*b**12*b) assuming b is positive.\nAnswer: b**(-323\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0 = 3*h - 3, -5 = 2*h - y. Let r = 14 + h. Let k = 15 - r. Solve 6*d = 3*z + d + 12, 4*z = k*d - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018984077 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/54)\/((-16)\/30*10\/12)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23226 times 29?\nAnswer: -673554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3 + 1. Let d = -1 - -5.8. Let u = d - -0.2. Put l, u, 0.5 in increasing order.\nAnswer: l, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-5))\/2)\/(10\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 45, -1, 4, 5, 1, 30 in descending order.\nAnswer: 45, 30, 5, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - (2 + -17 + 4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*u = 66*u - 4*w - 8020, -5*w = 2*u - 5362. List the prime factors of u.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2460b95 (base 13) to base 8\nAnswer: -53116011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 - 812\/11. What is the closest to -0.2 in 4, 2\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 167985 - 118694. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -3 (c) 150 (d) 0.4 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816 - 1522 + 706 - 7*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 1578\/215?\nAnswer: 1578\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -u - 51363, -83*u + 85*u + 68490 = 4*f. Calculate the smallest common multiple of f and 8.\nAnswer: 68472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r**2 + 9 - 2*r**3 - 5*r**3 - 4*r - 4*r + 6*r**3. Let l be h(8). Let x(z) = -6 + 1 + 2*z**2 + z - 3*z**2 + l. Determine x(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 9*n - 13. Let v be r(7). Let m be (-6)\/(-15) + v*(-13)\/20. What is the fourth smallest value in m, 5, 0.5, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4231 (base 6) in base 3?\nAnswer: 1022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*m - 78 = 376*m. What is the nearest to 3\/5 in m, -0.06, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6847804?\nAnswer: 2, 17, 100703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {v: 6, p: 3, t: 5, z: 3, m: 1, r: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493.92 weeks in minutes?\nAnswer: 25138713.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 3*v**5\/20 - v**4\/12 - 7*v**3\/6 + 2262*v**2. Let m(w) = -8*w**2 + 2*w + 6. Calculate -5*l(b) - 6*m(b).\nAnswer: 3*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d. Let m(h) = 3*h + 2*h + 56*h - 42*h + 3*h**2 - 5*h. Calculate m(b(p)).\nAnswer: 147*p**2 + 98*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from drrnzdznz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -9*j + 2*i + 302 - 19, 2*j + 4*i - 22*i = 168 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-2\/5)\/v)*v**8 assuming v is positive.\nAnswer: v**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -87*u + 30. Let f(l) = 42*l - 14. What is -6*c(b) - 13*f(b)?\nAnswer: -24*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -3*c. Let b(h) = h**2 + 8*h + 5. Let v be b(-7). Let d = c - v. Solve -2*o + 11 = -0*o - d*i, i + 5 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-13\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*y - 21648 = -128*y. Calculate the highest common divisor of 44 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + 270. Calculate the remainder when y is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 40. Let u = -999.8 + 1000. Which is the fourth smallest value? (a) u (b) x (c) 5\/6 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 75*n**2 - n + 1. Let u be 0\/(-3) + 0\/(-5) + 146. Let f = u + -133. Calculate the remainder when v(1) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgka when four letters picked without replacement from {j: 1, s: 1, g: 4, k: 2, a: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 - 3*j + 17. Let f be b(-5). Let z = 78 - f. Sort -5, z, 3.\nAnswer: -5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 16*c**3 - c**2 - c + 1. Let v be k(1). Find the common denominator of 68\/55*v\/6 and -23\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 2, j: 4}. What is prob of picking 2 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3\/4, 0.9, 0, 1\/17, 0.07, -29, -3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -177 - (-3)\/(-3). What is the greatest common factor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**3 + 8612*x**2 - 584296*x + 2199648 = 0.\nAnswer: 4, 66, 2083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.5, 2\/7, -4\/3, 2\/2697?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/((-225)\/(-12)))\/(42\/(-9))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1112 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 209710 or 209705?\nAnswer: 209705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i + 2 + i**2 + 1\/6*i**3. Let o(u) be the first derivative of a(u). What is the first derivative of o(y) wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + c**2 + c. Let u(l) = -7*l**3 - 11*l**2 - 5*l + 1. Determine -u(h) - 5*v(h).\nAnswer: 2*h**3 + 6*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 10*h - 1161. Let z be 14\/63 + h\/27. Let n(k) = -k. Let t(s) = -4*s - 7. Let l(c) = 5*n(c) - t(c). Give l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z - 3*z - 168 = 144 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/211 or 1?\nAnswer: -17\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -25*p - 6. Determine o(-3).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - f - f)*(-1 - 1 + 3)*(-f**2 + 5*f**2 - 2*f**2)*(-6368 + 4972 - 4*f + 3*f).\nAnswer: 8*f**4 + 11168*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 988 and 10469.\nAnswer: 544388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 11212101001211?\nAnswer: -11212101001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*c - 5*w, 191 - 185 = -c - 5*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180876 is divided by 164.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2133, -5062, -7991, -10926, -13873, -16838, -19827?\n\"Answer: -f**3 + 6*f**2 - 2940*f + 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(3*(-3)\/(-9)). Is ((-334)\/(-8))\/((2\/(-8))\/j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**3\/6 + 4*a - 3. Let o(s) = -s. Let g(c) = c + 1. Let y(v) = -3*g(v) - 5*o(v). Give y(j(k)).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 31 + 6\/(-6 + 5). Solve -w = -3*v + 8*v - 5*o, -2*v + 11 = 5*o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 10*y**2 - 11*y - 4. Let x be k(-11). Let s be (-22)\/x*(4 - 2). Solve 5*c - 1 + s = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpb when three letters picked without replacement from pfpbbxobffdx?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20012435 + -42?\nAnswer: -20012521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -1\/2*u**2 + 4 - 4*u. Give v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/17884151 or 0?\nAnswer: 2\/17884151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5839.56ug?\nAnswer: 5.83956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 682881 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1233, -7, 0 in decreasing order.\nAnswer: 1233, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 158799130745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-755)\/170 + (-127)\/2159?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -420863 (base 12) to base 4\nAnswer: -3331123023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32245 divided by 57?\nAnswer: -32245\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t + 1. Let m(u) = 17*u - 2. Give -4*m(r) - 11*q(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v**(1\/2)*v)*v**4*v*(v**(-8)\/v*v)\/v**(-6) assuming v is positive.\nAnswer: v**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 127 and 9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - o)*(-137*o + 118*o**2 + 137*o) + (0 + 0 + o**2)*(2*o - 5*o - o) + o**3 - o**2 + o**2 + (3 + 3 - 4)*(5*o**3 - o**3 - 2*o**3) + o - o + o**3.\nAnswer: -116*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (8 + -6 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-2)*-9*4\/(-36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114404474 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/207 and 70\/25569.\nAnswer: 588087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.393 + 0.057. Let p = 0.35 - y. What is the nearest to 0.03 in p, -4, 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 9*c - 5*c + 70 = 0, 9*c - 60 + 33 = -3*d + 48 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160*b**4 - 160*b**2 - 2461*b + 95?\nAnswer: 1920*b**2 - 320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6636 (b) -1\/8 (c) 92 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*u**5 + 0 + 4\/13*u**4 + 0*u + 70\/13*u**3 + 0*u**2.\nAnswer: -2*u**3*(u - 7)*(u + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -20522315?\nAnswer: -20522302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 + -18 + (2460 - -1 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 10*y. Let r(a) = a. Let p(w) = b(w) - 5*r(w). Let f(i) = 3 - 3 - 2*i**2. Give p(f(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-1989)\/(-27))\/(-17) - -3) + 62\/45. Sort 2, -1\/3, h in increasing order.\nAnswer: -1\/3, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)\/r)**(3\/4)\/(r\/(r**0*r))**(-11))**(-3\/4) assuming r is positive.\nAnswer: r**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1787?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 = -2, 3*w + 1 = n. Find the third derivative of -3*f - 4*f + n*f + 5*f**6 + f**2 wrt f.\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/3*(-2)\/(-8)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*u**3 - 13*u**3 - 17*u**3)*(4*u + 0*u - u + (-3*u - u + 3*u)*(0 + 0 - 2)).\nAnswer: 130*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a - 2*g = -11202, 0 = 2*a + 4*g - 5598. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-13)\/(104\/(-20)). Solve 23 = -3*v - 4*z, v + 1 = -z - i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -167201, -334422, -501643?\n\"Answer: -167221*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 1216. Let c be h(0). Let b = c - 1482. Let k = b + 3929. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-4)\/(-89)) + (-12)\/4. Let a = -83 + s. Suppose -a*q = -2*z - 2323, 2*z + 1131 = -q - 1188. Round z to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*i + 88. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541579?\nAnswer: 541579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2905368 = 82*d - 94*d. Suppose -27*s + d = 7*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d - 30 = 0. Let u be (-4)\/(-6) - 4\/d. Solve 0 = 3*h - u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 1, c: 9, a: 3}. Give prob of sequence ch.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**3\/3 - 28*l**2\/3 - 64*l\/3 = 0?\nAnswer: -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -61 (b) -2\/5 (c) -0.3 (d) 1063 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 850 divided by -2?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30, -34, -38, -42?\n\"Answer: -4*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k. Let n(s) = -27*s - 25. Let v(a) = 13*a + 12. Let u(g) = 6*n(g) + 13*v(g). Let w(o) = 1. Let q(r) = -u(r) + 6*w(r). Determine x(q(b)).\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 8*j - 6. What is m(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -92. List the prime factors of (-12)\/(-10)*y\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*g + 8*g + 4, 2*g - 2 = 2*t. Let f be ((-2)\/2)\/(0 - t). Let c(l) = 8*l + 2. Let w(k) = -k. Give f*c(j) - 6*w(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 9*u**2 - 26. What is g(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -650 and -652 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*j = 5, -j = 5*m - 6 + 19. Let t be -3 - (4 - 5) - m. Let i(w) = w**2 - 3*w + 1. Let d be i(t). What is the closest to -2\/3 in d, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 - -64. Calculate the greatest common factor of h and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-510)*(-6765)\/(-82).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/10))**19\/(o**(-22))**(1\/8) assuming o is positive.\nAnswer: o**(-59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -71 (c) -1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 110, 233, 358, 485?\n\"Answer: c**2 + 120*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2993, -2992, -2991, -2990?\nAnswer: -2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -155, -313, -471, -629, -787?\n\"Answer: -158*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58\/(-6) + 28\/(-21). Which is smaller: -10 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + 0)*(-4 + 3). Calculate the remainder when g\/22 + 756\/44 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2263737 to the power of 1\/2, to the nearest integer?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/15, -17, -0.04, -2 in decreasing order.\nAnswer: -0.04, -1\/15, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -8873\/13 greater than -683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1369? (a) 5 (b) 0.5 (c) -498\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16\/3 of a year?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.020238 to 3 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c = -45*c + 9. Let r be (3\/c)\/((-6)\/4). Let k be (-2 + 1)*-5 - 0. Put 40, k, r in decreasing order.\nAnswer: 40, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90*(203\/105 - 6\/10)*(-148)\/(-592)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165.4 - -165.6. Put -2\/165, -0.5, i in ascending order.\nAnswer: -0.5, -2\/165, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a088 + -2?\nAnswer: -5a08a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5041*w**2 - 13943*w - 841512543?\nAnswer: -10082*w - 13943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1902*h - 137116. Determine a(72).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 - x - 2. Let q be w(-1). Find t such that -q*t**3 + 2*t**3 - 18*t**3 - 10*t**2 + 5*t**3 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284144 divided by 20296\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-60)\/5)\/(-144))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440 = 169*a - 81*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 36*a**5 + 345*a**4 + 2405*a**3\/3 - 460*a**2 + 80*a - 46. Factor d(b).\nAnswer: 5*(b + 4)**2*(6*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:01 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 5 - ((6 - 4) + -6) - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*i - r, -15 = -3*i + 3*r + 6. Suppose -6 = -i*y, y + 69 = 5*n - 8. Suppose 0 = -4*d + 2*t + n, -t + 4*t + 12 = 0. Solve 16 = -2*l - d*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1039 rounded to three decimal places?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -290823?\nAnswer: 290825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5585 - -6128. Calculate the remainder when w is divided by 184.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 4:10 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**3 + 4*q**3 - q**3 + 2 - q**4 to the form o*q**2 + i + m*q**4 + p*q**3 + r*q and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12666175 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0153 in -2\/7, 30, -10, 4, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/(u**1*u*u)*u)\/u)\/u)**(-8)*u*u\/u**4*(u\/u**(-2\/13))\/u)**(2\/77) assuming u is positive.\nAnswer: u**(368\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -656*g - 2621. Determine a(-5).\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**6\/10 + 13*j**5\/20 - 7*j**4\/6 - 2*j**3\/3 + 4*j**2 - 38*j. Determine s so that f(s) = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 0, f + 3*v - 375 = -4*f. Suppose -f = -x - 2*h, h = -2*x - 18 + 162. List the prime factors of x.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-316)\/(-640) + 4 + ((-517)\/55 - -5).\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 4*q + 4. Let l(y) = -y**3 - y**2 - y + 3. Let t be l(0). What is m(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 24, -3\/779, -1?\nAnswer: -3\/779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 43. Let h = v - -18.8. What is the third biggest value in -2, h, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (15 + -2 - 8) - (5 + -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 9*c - 8. Give i(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6*y + 18 = 0. Let l be 12\/(-5 + 9)*2\/y. Let s = -3 - -5. What is the nearest to -4\/5 in l, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*l**6*x - 4*l**6 + 37*l**2*x + 21*l**2 + 1 wrt l.\nAnswer: -8040*l**3*x - 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -297507 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**3\/7 - 3253064*t**2\/7 - 94485476240*t + 1322809679648\/7 = 0 for t.\nAnswer: -406634, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5188 in -128, 4, 1\/3, -3, -1\/4, -4?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 8 = 2*x, 17*k - 20*k + 18 = 4*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-965)\/(-9) + (-218)\/981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 17051 - 4079. List the prime factors of z.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 8*o - 9. Suppose -2*i = -2*r + 7*r + 39, 4*i = 12. Let z be a(r). Suppose -3*t = -z*t - 66. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.988 + 10.198. Let l = 7 - 7.01. Let b = l + r. What is b rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 79\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.13 - 0.13. Let w = t + -7.4. Let h be -5 + -3 + -1 + 130\/15. Put w, 4, h in descending order.\nAnswer: 4, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*8\/(-78)*28*3575\/(-446600).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1528*q**2 + 139 - 139 + 553*q**2.\nAnswer: 2081*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6*(5\/5 - 25). Suppose p*j - 3*j = -10. Put j, 2, -5, 4 in increasing order.\nAnswer: -5, j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-15)*(675\/810)\/((-1)\/(-3)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 + 12*k**2 + 12*k. Let i(b) = 3*b**3 + 10*b**2 + 15*b. Let y(x) = 5*x**3 + 15*x**2 + 23*x. Let h(q) = 8*i(q) - 5*y(q). Give 12*h(w) - 5*z(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-607)\/(-21) + (2\/20 - (-11)\/(-2310))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 35. Suppose -4*m = -v*m + 36618. Let l = m - 293053\/24. What is the common denominator of -103\/10 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) 1\/10 (c) -8\/43 (d) 2 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b9 + -36?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uum when three letters picked without replacement from uummm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43078 + 763.5881.\nAnswer: 43841.5881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 12:56 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.703 and -0.11.\nAnswer: 0.51733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2499 (b) -0.1 (c) -0.3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 1. Let v be g(2). Let p(f) = -f**3 - f - 1. Let h(w) = 7*w**3 + 2*w**2 - 3*w - 3. Let o(s) = v*h(s) + 5*p(s). Factor o(a).\nAnswer: 2*(a - 2)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*b - 4 - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2409 + -2475 - (-43 - 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 690457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, v: 7}. Give prob of sequence ppvv.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 51*i**4\/4 - 30*i - 41. Differentiate z(g) with respect to g.\nAnswer: 153*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12863, -13016, -13147, -13256, -13343?\nAnswer: -13408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2698, 5454, 8276, 11164, 14118?\n\"Answer: 33*z**2 + 2657*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -24. Which is the third smallest value? (a) h (b) 0.1 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2616570 (base 8) to base 5\nAnswer: -141302230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/13, -1\/3, 2, -0.505?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 - 2*y**5 + 0*y**5 + (21*y**4 + 31*y**4 - 32*y**4)*(-5 + 2 + 6 - 2*y).\nAnswer: -43*y**5 + 60*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 146*t**2 - 141*t + 1208. What is the remainder when b(-145) is divided by 209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 - 72*r - 211. Calculate j(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/288 and 169\/1512.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 68 (b) 38 (c) 0.9 (d) 1\/2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*r + 69 - 69)*(113*r**2 - 113*r**2 + 16*r**3) in the form k*r**4 + c*r**2 + q*r**3 + a + n*r and give k.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 - -20212011?\nAnswer: 20220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/23980 and -97\/28776.\nAnswer: 143880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 2*s**3 + 54*s**2 - 53*s**2 - 55 + 2*s as j*s + h*s**2 + q + d*s**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 33458*n**2 - 143360560*n - 28519136800.\nAnswer: -2*(n + 209)*(n + 8260)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/20 - 77\/260. Let h = -8.785 - -4.785. Which is the third biggest value? (a) h (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 1870660*d**2 - 3741300*d.\nAnswer: -5*d*(d + 2)*(d + 374130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 43 (c) 0.0693936\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + 0 - (-3 + 24)) + (-93)\/(-9).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -507, -751, -943, -1077, -1147, -1147?\nAnswer: -1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35674 + 35673.99936018. What is y rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = 0. Let l be 2 + 1 + u + -3. Suppose l = -0*x + x - 22. Calculate the least common multiple of 20 and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 0 - (9 - -9 - 31 - 0).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.68 + -2.66. Let d = s - 3.52. Let v = -0.01 + -4.99. Sort d, -2\/21, v, -2 in descending order.\nAnswer: d, -2\/21, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 1)*(0*n**2 + 2*n**2 - 3*n**2) - 1 + 3*n**2 - 20*n**2 + 2)*(-6*n**3 + 7*n**3 + 8*n**3).\nAnswer: -144*n**5 + 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1291 and 2.3627.\nAnswer: -1288.6373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169617 - 171017 = -56*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3029598605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 + 3 = 0. Let b = k + -2. Let r(c) = -b*c + c + 4*c. Let s(i) = -2*i**2. Calculate s(r(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353690.\nAnswer: 2, 5, 113, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (210\/(-294))\/(1\/7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a. Let f(b) = -12*b**2 + 26*b**2 - 12*b**2 + 42 - 42 - 150*b. What is f(z(d))?\nAnswer: 8*d**2 - 300*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24189801 or 24189800?\nAnswer: 24189800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-764 + 53*p + 764)*(0*p**3 + 9*p**3 - 4*p**3) + (-3*p**2 + p**4 + 3*p**2)*(-4 + 0 + 3).\nAnswer: 264*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 3*x**2 - 27*x - 11. Let b be d(-7). Let y(f) = -5*f**3 - f**2 + 9*f - 4. Let m(a) = a**3 - 2*a + 1. Determine b*m(z) - 4*y(z).\nAnswer: 2*z**3 + 4*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 24*a - 7*a)*(3 - 3 - 4*a) + (0 + 0 + 1)*(3*a**2 + a**2 - 2*a**2).\nAnswer: 126*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885465360 divided by 4?\nAnswer: 471366340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 72\/23 (c) 941 (d) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c**3 + 5*c**2 - 7. Suppose -2 + 5 = -o - 4*x, -o = 5*x + 5. Let l(i) = -4 - 57*i**3 + o*i**2 - 2*i**2 + 52*i**3. What is 10*l(n) - 6*q(n)?\nAnswer: 4*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**2. Let j(h) = h**2 - 1. Let c(y) = 5*y**2 - 6. Let w(v) = -c(v) + 6*j(v). Determine w(d(g)).\nAnswer: 25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*n*s**3*w + 32*n*s*w**3 + s**3*w**3 + 260*s**3 - 10*w wrt n.\nAnswer: 5*s**3*w + 32*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/15801077?\nAnswer: 4\/15801077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/3, -2\/3, 5\/3, -0.2, 4\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*267\/(-7120)*((-8)\/(-13))\/2.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**3\/7 - 26373*y**2\/7 + 8289591*y - 289476735\/7 = 0.\nAnswer: 5, 4393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65*0.15.\nAnswer: 9.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -901*j + 455905. Give h(506).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 112187.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.656379 + 3.659. What is f rounded to 5 decimal places?\nAnswer: 0.00262","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9947661*j**4 + 14126380.\nAnswer: -39790644*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55920?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 35 = 310932*q - 310933*q, -3*r + 5*q = 43 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9720 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12520 + -12516. Sort b, 399, 2 in increasing order.\nAnswer: 2, b, 399","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.06 (b) -4 (c) -118554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/(-6))\/((-3)\/(-6))*1. Suppose -2*x = -f*x + 500. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148095372707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11210120122112 (base 3) in base 5?\nAnswer: -1123104030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1123\/836 + 109\/76. Factor -3\/11*a + 0 + d*a**2.\nAnswer: a*(a - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/393 and -55\/24.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -401524 and -111?\nAnswer: 401413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25200 and 756.\nAnswer: 75600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -182*a**3 - 10 - 21*a**3 - a**2 - 20 - 20 + 49 + a**4 to f*a**2 + i*a**4 + x*a + q*a**3 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83 - -98. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**3 + c**3 - c**3)*(2*c + c - 2*c) + (-2*c**3 - 4*c + 4*c)*(-c - 12*c - 2*c) to x*c**2 + u + y*c**3 + k*c + a*c**4 and give a.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 9085.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svvvbbsmpppmvbbpv. What is prob of sequence vpmv?\nAnswer: 1\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -13. Let n(g) = -5*g + 1. Calculate n(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138167021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (sqrt(19) + sqrt(38)\/sqrt(2))**2*-5).\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 (base 12) in base 10?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 4:34 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 + (287 - 5) + 5 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + sqrt(117) + 1)**2*-5*-6.\nAnswer: 1260*sqrt(13) + 4980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8016*k + 5365*k + 26641*k.\nAnswer: 23990*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*o + 3*o. Suppose 2*d + 10 = -4*l, l - 4*d + 9*d + 25 = 0. Let g be (l + 11 + -12)*(-1 + -1). Sort o, -4, 3, g.\nAnswer: -4, o, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*z**5 - 4)*(0 - 9 - 14) + (4 - 3*z**2 - 4)*(2 - 2*z**3 - 2).\nAnswer: -40*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 8. Let n = -16 + 20. Which is the second smallest value? (a) l (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -233, 1\/2, 4, -19218?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 17 = -5*y. Suppose -166*q + 168*q = 2*t + 10, -2*q + 4*t + 4 = 0. Put q, y, -3 in descending order.\nAnswer: q, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 58 + 12. Let p(c) = 3*c**3 - 22*c + 16*c - 8*c**2 + 14*c - d - 2*c**3. What is p(6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4\/11 (b) 49 (c) 0.2 (d) -6 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-45)\/(-54) - (-25)\/6)*102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7 - 3 = 0, -5*b = 3*f - 108. Calculate the remainder when 89 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.6 + 13. Let k be 2 + -1 - 15\/3. Let d be 63\/12*k\/6. What is the second biggest value in 5, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464493173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -613*b**2 - 18*b + 2. Let d(t) = -614*t**2 - 24*t + 2. Give 3*d(g) - 4*u(g).\nAnswer: 610*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*g + 54. Let a = 61 - g. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from {q: 3, o: 3, c: 1, t: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uav when three letters picked without replacement from qpvurav.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3 * -0.4.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 107 + -1058?\nAnswer: -951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 10*w**2 + 3*w + 5. Let x(s) = s**3 + 9*s**2 - 4*s - 6. Let a(j) = -2*g(j) - 3*x(j). Suppose 5*u = 209 - 179. What is a(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3 + 1. Suppose 0 = 2*y - f - 175, v*f - 1 - 1 = 0. Suppose 0 = -u + 3*u - y. Calculate the remainder when u is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 + -232\/3. Let j(s) be the first derivative of 0*s**2 + x*s**3 + 0*s - 3. Let f(h) = 2*h**2. Calculate f(j(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5226 times -0.2?\nAnswer: 1045.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -92754, -96422, -100100, -103794, -107510, -111254, -115032?\n\"Answer: -w**3 + w**2 - 3664*w - 89090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5100*s + 34496. Give z(7).\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*c - 4. Suppose -9*t = -6*t + 12. Sort c, t, -2 in increasing order.\nAnswer: t, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 3*k - 2. Let a be y(-3). Let q = 202.4 + -218. Let b = q + 15.7. What is the nearest to b in 5, -12, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t = -73 - 42 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-2)\/v))\/v**(-3)*(v\/(v**(-1)*v))**16)**42 assuming v is positive.\nAnswer: v**966","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (7 + -1) - 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -18*v + 174 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(363) + -2 + sqrt(363) + 3 + sqrt(363))**2.\nAnswer: 66*sqrt(3) + 3270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**3 + 10*r**2 + 265*r.\nAnswer: 18*r + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 + 138.7. Suppose 75*m + 30 = 85*m. Let s be (868\/70 + -13)*(-5)\/m. Which is greater: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 5*w - 16, -5*w + 182*a - 181*a + 18 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 2*d - 5*d - 6. Let y = -2047 - -2042. Determine w(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and -8811.221.\nAnswer: 12335.7094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 10:05 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84774281?\nAnswer: 107, 792283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7587*s + 31362*s + 32497*s)*(2*s - 4*s + 3*s).\nAnswer: 71446*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 193584 and 15792?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 8*b - 7. Let l be z(-5). Let s = -3 + l. Find the second derivative of -3*w + 4*w**5 + s*w - 2*w**5 wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28567 is divided by 794.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107.34 - 108. Let s = -1.16 - r. Let x be 1\/(-3) + 22\/(-42). Which is the second biggest value? (a) s (b) x (c) 5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k - 38*k - 3 = 0. Solve -16 = 2*z - 4*b, -5*b = -3*z - k*b - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44036 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/5))\/n*n)**(-46)\/(n*n*n**6*n*n*n**0) assuming n is positive.\nAnswer: n**(-372\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m - 143. Suppose -2*n = -5*t - 36, -4*n - 2*t = 27 - m. Suppose -5*p + n = 3. Solve 5*z - p = 4*w, 2*w - 20 = -3*z + w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -362 + 614. Let y be ((-8)\/x)\/(15\/(-105)). What is the third biggest value in y, -3\/2, -2\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 1, r: 2, w: 2, z: 2, a: 1}. Give prob of sequence awz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1893 + -5.\nAnswer: -4.8107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/36 - 10072\/(-36)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73172 < -73170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 - -935. Calculate the highest common factor of x and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 8}. What is prob of picking 2 p?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 3. Let p be u(-4). Suppose -2*b - 34 + 104 = 0. What is the greatest common divisor of b and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66892 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 32*i - 32 = -28*i, 14 = 2*z - 2*i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16\/23, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4659.85245 to the nearest ten.\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1 + -3 + 2 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 5:02 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 7:56 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.475 - 0.275. What is the third biggest value in b, -1, -4, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 280026*u**6 - u**2 - 2*u + 19149 wrt u?\nAnswer: 33603120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 56.297?\nAnswer: -337.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -17.1, 0.6, -3.626, 4 in decreasing order.\nAnswer: 4, 0.6, -2, -3.626, -5, -17.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0.22 (c) 10\/9 (d) -8\/7 (e) 1\/3 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(24\/(-10)) - (-383910)\/90 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -o - 3*o - 2*x, -3*o = x - 16. Suppose 4*f + 497 = 5*j, -5*j - o*f = -5*f - 507. Calculate the remainder when j is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7602 - 1043?\nAnswer: -8645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14244040 (base 7) to base 5\nAnswer: -320320012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 + -2 + 3 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6 + 4*a + (0*a - 6*a + 5*a)*(-2 - 15 + 3) + (2 - 2 - 1)*(3 + 2*a - 3) to the form v + j*a and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 5*s**2 - 3*s + 3010. Let g(q) = -2*q**2 + q - 1491. Give -5*g(n) - 2*w(n).\nAnswer: 2*n**3 + n + 1435","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 129 and 0.3.\nAnswer: 38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-9))\/(b\/(b\/(b\/(b**(-1)*b)))))\/(b\/b**(4\/17)*b**(-17)\/b))**(-45) assuming b is positive.\nAnswer: b**(-6300\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-23)\/h)\/h)\/h)\/h**(-15) assuming h is positive.\nAnswer: h**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/(o\/o**13*o*o)*o)**15*(o**(-1\/4)*o)\/o*o**(1\/6) assuming o is positive.\nAnswer: o**(2519\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4472.436 nanoseconds in milliseconds?\nAnswer: 0.004472436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - p + 2*p + 122*p**3.\nAnswer: 122*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 5, 1, 1\/38, 3.6?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -3, 6, -16 in decreasing order.\nAnswer: 43, 6, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -4402, 4, 10 in descending order.\nAnswer: 10, 4, 3, -3, -4402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10 - 4\/10. Let i be x - (-6)\/3 - -1. Solve 9 = -i*a - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205 - -205. Put -1\/3, -3, h, 0.1 in ascending order.\nAnswer: -3, -1\/3, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 301\/96 + 65\/32. Let x = -365\/48 - -99\/16. Calculate the common denominator of x and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*f - 3*j - 699997, -f - 4*j = -700004. Round f to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-6)*18\/15. Solve -8 = 4*w, -a = t*a - 5*w - 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/8 - 15*k**4\/8 + 21*k**3\/8 - 9*k**2\/8 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -25*y + 23*y - 4*d, -4*y + d + 7 = 0. Suppose 0*h - 5*g = 3*h + 16, -4*h - 3*g = y. Solve 0 = 2*z - 4*m + 2, 5 = h*z + z + m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0*f + 9 + 2*f**2 - 1\/360*f**6 + 0*f**3 + 1\/72*f**4 + 0*f**5. Determine m so that l(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18406695 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.8 and -318.\nAnswer: -890.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -11 + 6 + (-2 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 3*c**2 - c. Let g(u) = -4*u**3 + 11*u**2 - u. Calculate g(z) - x(z).\nAnswer: -3*z**3 + 14*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 79*a**3 + 10*a - 2. Let k(s) = -159*s**3 - 18*s + 4. Determine -5*k(r) - 9*m(r).\nAnswer: 84*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*d + 30 = 0, 25 - 3 = 3*p - d. Suppose 5*o + 8 = 2*l, 5*l - 5*o - 42 = -p. Let g be (660\/l)\/(1\/9). Round g to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22600886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3*d**2 - 18\/7*d - 3\/7*d**3.\nAnswer: -3*d*(d + 1)*(d + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.981141522 and -0.091?\nAnswer: 1.072141522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13797279, -55189118, -124175509, -220756446, -344931923, -496701934, -676066473?\nAnswer: -883025534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*r**3 + 28*r**3 - 36*r**3)*(4*r - 2*r - r).\nAnswer: -129*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 150? (a) -1 (b) 23 (c) 0.1 (d) -16 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29532*l**3*p**3 - 3*l**3*p - 37*l**2*p + 1210*l*p**3 wrt l?\nAnswer: 177192*p**3 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.01, 1\/2, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/754330 and -131\/850.\nAnswer: 64118050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 - 243342?\nAnswer: -243302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 1846215.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 30118838.7513.\nAnswer: 30118838.7513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(72\/6))\/(-2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.078 - -0.071. What is k rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -9 (c) 4\/9 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*j + 10, -2*n + 0*j = j + 5. Suppose n = 4*b - 0 - 8. Suppose -24 + b = -m. Solve -5*s - 5*g - m = -g, s - 5*g = 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -2*l**3\/3 - l. Let g(v) = 83*v**2 - 171*v**2 + 54*v**2 + 47*v**2. Give g(q(t)).\nAnswer: 208*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.93953822 rounded to 2 decimal places?\nAnswer: -14.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2133 = -u - 5*i, -4*i - 1060 = -2*u. Let q be -1 - ((4 - u) + 2). Suppose 221 = x - 5*o, 3*x + 3*o - q - 102 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*t - 12, 30*v - 5*t + 8 = 31*v. Factor 0*o + 0 - 1\/3*o**v - 1\/3*o**2.\nAnswer: -o**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5255 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174*h**2*r**5 - 6*h**2*r + 7*h**2 + 64*h - 6186*r**5 + 9*r + 1 wrt r?\nAnswer: 3480*h**2*r**3 - 123720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 217 = -53. Suppose -q + x + 23 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/738540 and 47\/4620.\nAnswer: 5169780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 3*f - 5. Let r be c(-4). Let a(m) = 2*m - 6. Let v be a(9). Let n = r + v. Calculate the remainder when 32 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20362735 to 3 decimal places.\nAnswer: -0.204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2. Let p(o) = -3*o**2. Let q(f) = 4*f. Let y(u) = 2*u - 4. Let g be y(5). Let j be q(g). Suppose -3*r + 27 = -j. What is r*v(d) - 6*p(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -523\/7 - -75. What is the fourth biggest value in 1\/3, -4, -2\/5, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/27 and 53\/4257?\nAnswer: 12771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {r: 5, z: 4, t: 1, x: 3, b: 3, i: 1}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (10 + -19 + -17).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 2*b - 3*v + 207, -524*b - 3*v = -527*b + 129 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2. Let h be z(1). Suppose h*d + 1 = 3*c + 3, 4*c = 3*d - 3. Let l = c + 9. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8023 or -104292\/13?\nAnswer: -104292\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5408676765 plus -3805?\nAnswer: 5408672960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35152 or -35192?\nAnswer: -35152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248 + 3*s**2 + 248.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5614 is divided by 1048?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 - 5*q - 12. Let t be x(6). Let r be 17\/t - 29\/(-6). Solve 0 = r*b - 15, 4*n - b + 9 = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1 + 3 = 2*m, q - 7 = -2*m. Suppose -3*v = -17 - q. Factor 3*w**2 - 8 + v + 24*w + 50.\nAnswer: 3*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 - 76 = 13*d + 82 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n - 1. Suppose -5*m + 0*w + 80 = -4*w, 35 = 2*m - w. Let h = m + -21. Let c(f) = -f**3 - 6*f**2 + 4*f + 6. What is h*c(a) - 6*x(a)?\nAnswer: a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - j + 3*j - 5*j**3 + j - 3 to x*j + z*j**2 + q*j**3 + r and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 35 = -2*k. Which is the closest to -0.7? (a) 2\/13 (b) k (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*i**3 - 128*i**2 - 276*i - 160.\nAnswer: -4*(i + 1)*(i + 8)*(3*i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 166944 - 166895. Calculate the remainder when (186\/5)\/3*5 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 11281.25557?\nAnswer: -11280.75557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 6*p - 23. Let q be r(-3). Put 2, -2, 0, q in increasing order.\nAnswer: -2, 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -346814.66 - 7201.34. Let o = p - -354012.99994. Let r = -3 - o. What is r rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 13 = 24. Let z = h + 775\/21. Let u be (-1 + 1)*(4 - 5). Do z and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -248\/5 + 7207\/145. Let k = -190 - -189. Is p equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 3*o + 6. Give f(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.641694s in nanoseconds?\nAnswer: 641694000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 2. Let l be h(3). Let s be (-94)\/l*10\/(-20). Let v = s - 27. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2351021228.\nAnswer: 2, 1033, 568979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.00155282164 less than 16.9?\nAnswer: 69.90155282164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 50, 43, 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2 - 5*v + 9*v - 3*v. Let p(o) = -3*o**3 - o. Let y be p(-1). List the prime factors of w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqnqqwnwqnnnqnqqwn. Give prob of picking 3 n and 1 q.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.55\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (0 + -10)) + (-69 - 7) + 31?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15\/120)\/((-2)\/(4\/1))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*m + 35*m + 2314. Let b = m - -281. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = -2*p, -3*k - 4*p + 9*p - 19 = 0. Solve 3*l + k*l = -10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a45ce (base 15) in base 14?\nAnswer: -d7c73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1c30 (base 16) to base 11\nAnswer: -5470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337.3183m to centimeters.\nAnswer: 33731.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51531, 103032, 154505, 205950, 257367, 308756, 360117?\nAnswer: 411450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 89.52611ng?\nAnswer: 0.00000000008952611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*b**3 - 150*b**3 + 4*b + 59*b**3 - 7 + 37*b**3 in the form w*b + r + j*b**3 + y*b**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217285 + 221216 = 5089*i + 36917 - 102227 for i.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-10))\/(21\/(-14)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 28*y - 31*y - 16, 0 = -b + y + 2. What is the closest to 5.4 in 0.5, -3, 0.4, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34 - -5903148?\nAnswer: 5903114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365.8234 hours to minutes.\nAnswer: 21949.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139 + 143.95. Let c = -2.9 + u. Let o = -0.05 + c. Which is greater: 0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203 by -5.\nAnswer: -203\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 266169196?\nAnswer: 1064676784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 11245780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 294909.8499895 - 294909. Let n = 17 + -17.85. Let g = n + p. Round g to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6396552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3 + sqrt(128) + sqrt(128))**2 + 1.\nAnswer: -64*sqrt(2) + 517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/215?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrrqq. Give prob of picking 2 q and 2 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**4 + 5*g**4 - g**4)*(-3 + 3 + 2) - 75*g**3 + 75*g**3 + 8*g**4 + (-g**3 + 4*g**3 + 28*g**3)*(5*g - 3 + 0*g - 4*g).\nAnswer: 41*g**4 - 93*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51927357 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 28 + 3 = 0. Let u be (2 + 0)\/(6\/21). Let x = 10 - u. Solve t*c - 2 = 4*p - 7, -x*p = -3*c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 4*l + 21. Let a be p(-3). Suppose a = 2*k + 17*k - 2299. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w + 39 - 18 + w + 3*w. Suppose i + 30 = -2*i. Is y(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {t: 3, m: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9200)\/1288)\/((-15)\/(-42))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -30, -4, -18, -176 in ascending order.\nAnswer: -176, -30, -18, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from {y: 1, t: 1, r: 3, s: 3, m: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 36*n**6 + 21*n**4\/4 + 5*n + 138. Find the third derivative of a(j) wrt j.\nAnswer: 25920*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/9 - 302\/(-6). Suppose -66 - 71 = -4*z - j, 0 = -5*z - 3*j + 173. What is the greatest common divisor of z and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1863\/(-171) + ((-2)\/(-8))\/((-399)\/168)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*j + j + 3*a, 4*j + 3*a - 5 = 0. Suppose 8*g = 6*g + 10. Suppose q + 33 = 3*t - 0*q, 5 = j*t + g*q. Solve u = -u + t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344034595 to the power of 1\/3, to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1832355*d**4 + 36*d**2 + 165146609*d wrt d.\nAnswer: -21988260*d**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8686 and 12934.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**4 + 38*y - 9 wrt y?\nAnswer: -8*y**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 335 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhooh. What is prob of picking 3 h and 1 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20210020 (base 5) in base 14?\nAnswer: 43647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m + 0*m - m. Let y(t) be the third derivative of 0 + 3*t**2 - 1\/12*t**4 + 0*t**3 + 0*t. Calculate a(y(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (7 + -16)) + -8 - (-54 + 2 + 1).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -6 - 5\/(-5)*-8. Let v(s) = 29*s**2 - s**3 - 40*s**2 - s - 29 + 2*s. Calculate the remainder when v(y) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 21 = -0*x + 5*i, -3*x + 5*i = -83. Solve -5*d - 26*d + x = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 6) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 1012, 2579, 5102, 8767, 13760, 20267, 28474?\nAnswer: 38567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4 - -6) + -3)*-9. Let j be (-1)\/(1*(-2)\/6). Suppose 0 = j*s - 204 + 15. Calculate the highest common factor of s and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 487641388.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.9 times -4.1434?\nAnswer: 70.02346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123124 + -3?\nAnswer: -123132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 10\/4 + 1146\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1024*t - 16049 = 60063 + 7856 for t.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007470319 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + m - 25 = -42, g - 2*m - 6 = 0. Let h(q) = 6*q**2 - 2*q - 3. Calculate h(g).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) -228 (c) -0.13 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-78)\/24)*(-1)\/(-4)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {l: 1, z: 5, t: 3}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 4*h**2 - 4*h + 1. Suppose -4*b = -u + b + 30, -4*u + 3*b + 35 = 0. Let p be l(u). Solve 2*c + 2 + p = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 696366 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*l**3 + 501*l**3 + 132*l**3 + 16*l**3.\nAnswer: 787*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 124878368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -23*c**3 - 6*c**2 - 5*c - 3. Let y = 111 - 115. What is the units digit of o(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-1 - (-6 + -1 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(21)\/(2*sqrt(7)) + ((-2*sqrt(3)*-6)**2 - (sqrt(3) + 1)**2*1) - 1*((-1*sqrt(363) + -4 - sqrt(363)) + -3)**2.\nAnswer: -1073 - 311*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 1619853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 17*v**3 - v**2 - 2*v + 4. Let g(s) = -17*s**3 + s**2 + 2*s - 5. What is 4*g(l) + 5*k(l)?\nAnswer: 17*l**3 - l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34, -38, -52, -82, -134, -214, -328?\n\"Answer: -m**3 + m**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1729*y + 850*y = -874*y + 75 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1911538 by 955769.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - -1. Suppose 13*s = 8 + 5. Let h(b) = 3*b + 13. Calculate the remainder when u is divided by h(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l**3 + 7*l**2 - 7*l - 5. Let s(y) = -y**3 - 4*y**2 + 2*y - 9. Let r be s(-5). Let x(u) = -7*u**3 - 6*u**2 + 6*u + 4. Determine r*d(g) + 7*x(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-32))\/((3\/5)\/((-452)\/565)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 558 = 4*m + 614, -2*m = -y + 16. What is the biggest value in 0.3, -0.03, y, -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 3267*u + 111 + 99\/2*u**2 + 1\/4*u**3. Suppose z(x) = 0. What is x?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-62)\/(-4)) - (-797300)\/124620 - 8?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -233 and 3578?\nAnswer: -833674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -6) + (4 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 7:50 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 983222 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**3 - 10*g**2. Let a(v) be the third derivative of -v**5\/60 - 18*v**2. Give -10*a(t) + p(t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000441586 rounded to 7 dps?\nAnswer: 0.0004416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(15\/6))\/(448\/96)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3592766 is divided by 647.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 313172*u**5 - 12*u**2 + 1873 wrt u.\nAnswer: 18790320*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -442*p + 3. Let k(o) = -1301*o + 8. Let a(t) = 8*i(t) - 3*k(t). Let h(x) = -4*x. Calculate h(a(y)).\nAnswer: -1468*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27305 and 749935.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 12*i**2 - i + 18. List the prime factors of l(-13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 6*k**2 + 5*k + 4. Calculate q(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.0963?\nAnswer: 0.0963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1803763?\nAnswer: 13, 89, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -393.51 to the nearest ten.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - k. Let t(s) = -11*s**2 - 6*s + 1. Let q(j) = 6*p(j) - t(j). Let z(v) be the first derivative of q(v). Let w(i) = -i**2. Determine z(w(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*t**2*y**2 + 23*t**2*y - 2*t*y**2 + 240*t wrt t.\nAnswer: 24*y**2 + 46*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 7. Let z = 189 - 334. Let h = z + 145. Solve h = -u + t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3\/2, -25, 0.9 in descending order.\nAnswer: 0.9, -0.5, -3\/2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 788 + -772. Does 36 divide 51*v*21\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 360.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - -26. Suppose 2*r = -36 + x. Differentiate -2*j**r + 2 + 0*j**2 - 8 - 9 wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3016120.133 + 65968.\nAnswer: 3082088.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 19*l**2 + 15*l - 38. Is y(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-288)\/(-1056) + (-18)\/(-176). Put 2\/5, c, 0.3 in ascending order.\nAnswer: 0.3, c, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8547394 is divided by 625.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o. Let j = -606 - -647. Let v(z) = 42*z**2 + 32 + j - 139*z**2 - 73. What is v(h(l))?\nAnswer: -97*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(1 + (-862)\/866). Let a = r - -609. Let j be (19 - 17)\/((-1)\/(-8)) - -6. Calculate the highest common divisor of j and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -821 - -811. Let z be (-3)\/(-2) + 26\/(-4). Is (-5566)\/b + (-2)\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 368679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 45\/72090*-24*12\/(-8)\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -23*v**3\/2 - 9*v**2\/2 + 33*v. Differentiate g(m) wrt m.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -93*c - 466. Calculate i(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-110) - (0\/2 - 0)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/748 and -107\/476.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-1664)*13)\/(6\/8)*-16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 198*b + 141. Calculate m(-2).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4047416 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.056 + 0.344. Let y = -36 + g. Which is smaller: 0.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -28*x**2 + 6*x - 5. Let i(a) = 27*a**2 - 5*a + 7. What is -5*d(r) - 6*i(r)?\nAnswer: -22*r**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 1 + 9. Suppose 4*l - 19 - k = 0. Suppose l*q - 4 = -34. Put 0, 1, q in increasing order.\nAnswer: q, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4399383 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = 2*f - f. Let i = -3319 - -3329. Calculate the remainder when f is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3070\/13 + 236. Put -0.3, 0.35, p in descending order.\nAnswer: 0.35, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 120231432?\nAnswer: 120231440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3898 + 22498. Let o be (-8)\/(-20)*(-30)\/(-8)*f. What is o rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 646.3913 nanoseconds to seconds.\nAnswer: 0.0000006463913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1095 - 7611\/7. Let 24\/7*r - y*r**3 - 32\/7*r**4 + 16\/7 - 6\/7*r**5 - 20\/7*r**2 = 0. Calculate r.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43.9 - -48.9. Let a be (-34)\/40 - (-1)\/4. What is the smallest value in -4, a, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2990912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(75\/15)*702\/(-540)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 32609.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:40 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let m(f) = -6*f**2 - 256*f. Give m(u(g)).\nAnswer: -6*g**2 - 256*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36424 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-5) + 40\/150. Which is the biggest value? (a) -3.2 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -199525500 to the nearest one million.\nAnswer: -200000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1323374*v**2*y**3 - 10*v**2*y**2 + 9*v**2*y + 2393*v**2 - 18*y**3 - 2*y**2 + y + 2 wrt y?\nAnswer: 7940244*v**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17780419.\nAnswer: 17, 1045907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133913 + -6113. What is k rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/15343 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5344.766 and 0.1025612.\nAnswer: -5344.6634388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*l**3 - f**2*l - 2*f*l**3 + 4*f*l**2 - 1154928*f*l - 34639174*l**3 - l wrt l.\nAnswer: 6*f**2 - 12*f - 207835044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -11. Suppose 14*o - 19*o = 185. Let u(d) = -d**3 - 37*d**2 - d - 40. Let x be u(o). Sort x, -54, a in decreasing order.\nAnswer: a, x, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 2. Determine n(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15171 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211212 + -1120?\nAnswer: 210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 3, 28, -50020, 3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5628, 11260, 16894, 22530, 28168, 33808?\nAnswer: 39450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 109*r. Let w(o) = 656*o. What is -34*c(d) + 6*w(d)?\nAnswer: 230*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 + 118*f + 170. Let s be l(31). Let p(k) = 15*k**2 + 5. Let a(d) = 44*d**2 + 16. What is s*p(y) + 5*a(y)?\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -275*y + 300. List the prime factors of d(-10).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1872521, -1872525, -1872543, -1872581, -1872645, -1872741?\nAnswer: -1872875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 21. Let d be m(0). Let n(w) = -w - 24. Let o be n(0). Let g = d + o. Is -3 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**2 + 168*x + 3. Let s be k(-28). Solve 5 = -2*d + s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus -116?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqy when four letters picked without replacement from qssyqqsqqsssy?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*y + 71 = 0, -u + 3*y + 31 = -2*y. Solve -2*w - 2*w = -m, 4*m - 5*w = -u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -1456?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 380?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25594229 and -0.055.\nAnswer: -25594229.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -634, -1266, -1898, -2530, -3162, -3794?\n\"Answer: -632*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/39231 and -61\/13077.\nAnswer: 39231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 4:01 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 709*g - 2118. Give q(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + (3 + 6 + -31 + 8 - -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*s - 7 + 23 = 0, 4*f = 3*s + 39. Let i(a) = a**3 - 5*a**2 - 9*a + 9. Let d be i(f). Let u = 7 - d. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -3 - (-1 + 0). Suppose 0 = -8*l + 3*l + 30. Solve g*v = l*v + 2*u + 8, 2*v = 3*u + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - u + 3 = 2, u - 2 = -2*f. Which is smaller: 2\/489 or f?\nAnswer: 2\/489","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 at most 1.95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26379529?\nAnswer: 11, 17, 141067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28846861, -2, 1\/3?\nAnswer: -28846861","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 7 + 29. Let c(p) = -p - 4 + 34 + 0*p - 2. List the prime factors of c(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292922 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(10)\/sqrt(2)*1)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34580.\nAnswer: 2, 5, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8377\/24 - 349. Is -1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 186, 187, 188?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 115783414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 2, b: 6, c: 3, o: 2}. Give prob of sequence tc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**4\/6 - y**3 + 2*y**2 + 3*y - 2. Let c(p) be the first derivative of b(p). Factor c(n).\nAnswer: 2*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43724943*i**6 + 17780192*i**2 wrt i?\nAnswer: 5246993160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-282)\/18 - 2\/(-3). Let a = 51 + u. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -43\/4, 6, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from {p: 2, v: 1, e: 3, t: 1, r: 3, x: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 7*k - 2*k)*(3 - 2*k - 3) - 3*k**2 - 2*k**2 + 3*k**2 + 3 - 3 + 2*k**2 + (7*k - k + 3*k)*(4*k + 7*k - 4*k).\nAnswer: 59*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 88. Let l = -30.8 - x. Let w = l - 42. Which is the second biggest value? (a) 5\/4 (b) 0.5 (c) 5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 13431002?\nAnswer: -13431012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93.45323 millilitres?\nAnswer: 0.09345323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v**5 - 4828*v**4 + 612482*v**3 - 7102352*v**2 + 3840840*v + 15904800 = 0. What is v?\nAnswer: -6\/5, 2, 12, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113395.\nAnswer: 5, 22679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnrr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 8*m - 3. Let t be w(7). Suppose 724 = -3*g - l, 0*l - l - t = 0. Round g to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1670718625879 + -15\nAnswer: 1670718625864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.031 (b) -4 (c) -1.58 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 5. Suppose -p = 3*p - 8. Let o(i) be the first derivative of i - 7. Calculate p*f(y) + 11*o(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(378)*-5 + sqrt(378) + (sqrt(378) - 1*(sqrt(378) + (-2*sqrt(378) - sqrt(378)))))\/((sqrt(6) - -1*sqrt(216)) + -1*(sqrt(96) - sqrt(6))))**2.\nAnswer: 5103\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4690*t**2 - 2630*t**2 + 2127*t**2 - 5591*t**2.\nAnswer: -10784*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74.4 in -0.1, -0.4, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -18 - 48 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/30 + (-34)\/(-5). What is the greatest common divisor of 15 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(2*(-1)\/25*5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -358 - -5. Let v = n + 771. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 q when three letters picked without replacement from eqeq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 1 - 6 = 5*y + 4, -4*y + 3207 = -5*y - 174*d + 4427 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16414604 is divided by 2344940?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 13*d**2 - 8. Let s(q) = 10*q**2 - 4. Let m(p) = -p**2 - 1. Let y(t) = m(t) + s(t). Give 5*x(k) - 8*y(k).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 m when three letters picked without replacement from {e: 1, f: 2, m: 1, b: 3, d: 1, h: 10}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 - -1347?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 - 35\/(-49). Let s(k) be the first derivative of 1\/2*k**4 + 4\/3*k**3 + 0*k + 0*k**2 - l. Solve s(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**4 + 328*i**3\/3 + 3362*i**2 + 174. Factor l(c).\nAnswer: 4*c*(c + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r + 4. Let z(w) = w - 1. Let k(c) = o(c) - 2*z(c). Let b be k(-6). Find u such that 10\/3*u**4 + 0*u + 14\/3*u**3 + b + 4\/3*u**2 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630064348?\nAnswer: 2, 1187, 132701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2 + 180290*v - 17 + 79709*v. Let n be l(-15). Round n to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*a - 2467805 = 1287193. Round a to the nearest one hundred.\nAnswer: 32100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/8172 and 139\/6.\nAnswer: 8172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1410*r - 1568*r - 4424 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*j = -1951 - 809 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, b: 6, w: 3}. Give prob of picking 1 i and 3 b.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/3 (b) 10 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6 + 11 + 24996*x**2.\nAnswer: 24996*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3477 is divided by 864.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 0*c**4 + 0*c - 3\/25*c**5 + 3\/5*c**3 + 2 + 3\/5*c**2. Factor y(q).\nAnswer: -3*q*(q - 2)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 18 = -4*f, 3*d + 14 = 4*f - 0. Calculate the remainder when 18 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 - 140*z**2 - 11*z + 41. What is the remainder when c(-70) is divided by 194?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 0*a**4 + 0*a**5 - 24 - 161\/3*a**3 + 17\/3*a**6 + 0*a**2 + 0*a. Find the third derivative of f(d) wrt d.\nAnswer: 2040*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -36*((-4)\/3 + 1). Let y be c\/10*(2 - (-70)\/(-135)). Is y greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 449594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 184*v + 65. Let r(m) = 120*m + 43. Let x(d) = -5*b(d) + 8*r(d). Let y(c) = -13*c - 6. What is 2*x(o) + 7*y(o)?\nAnswer: -11*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 249 - 3?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-16 - (45 - (38 + 3)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4764*s + 1041*s + 3743*s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160799.\nAnswer: 113, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 206616 divided by 4?\nAnswer: 51654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.01 + 0.01. Let v = 1.7 + o. Let g = -2.1 + 2. Put -5, v, g in ascending order.\nAnswer: -5, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-3 - -2)\/(4 + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 13*f - 505*f + 24*f)*(3*f**2 + 2*f**2 - 3*f**2).\nAnswer: -936*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.4 (b) 1 (c) -23 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 46, -4, 3 in descending order.\nAnswer: 46, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102137355675*k**2 + 1187907570*k - 3453987.\nAnswer: -3*(184515*k - 1073)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - 1. Let k = 16 - 66. Let n be k\/20*(-4)\/5. Which is the smallest value? (a) r (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1584657\/7 at least as big as -226380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 + w + 56*w**3 - w - 62*w**3 wrt w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1857 (base 10) to base 7\nAnswer: -5262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -11, -28, -61, -116, -199, -316, -473?\n\"Answer: -j**3 + j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12229.\nAnswer: 7, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**3)**(1\/2))**8*g**(-4\/5)*g**(1\/6)*g*(g\/(g**1\/g)*g)\/g*g*g\/(((g\/g**(-7))\/g)\/g)*g assuming g is positive.\nAnswer: g**(-289\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559962, -1119927, -1679892, -2239857, -2799822?\nAnswer: -3359787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.058 * 110580\nAnswer: -6413.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17? (a) 4 (b) 2 (c) 4\/9 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26164196 - -3?\nAnswer: -26164193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 13 = -v + 5*z, 0 = -3*v + z + 7. Suppose -v*u - 174 = -3*o, -262 = -4*o + 2*u - 4*u. What is the remainder when o is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018938515617 to 5 decimal places.\nAnswer: -0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-7)\/(r*(r*r*r*r\/r**0)\/r*r))\/(r**(-1\/6)\/(r*r*r*r**(-6\/7))))**(6\/7))**(2\/39) assuming r is positive.\nAnswer: r**(-814\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 - 3*j**2 - 34*j**3 + 35*j**3 + (2*j - 4*j + 0*j)*(3*j**2 - 5*j**2 + 3*j**2).\nAnswer: -j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 1, b: 2, g: 1, h: 2}. What is prob of picking 1 j and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 4:55 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 179481 + -1635786\nAnswer: -1456305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 718386 - 1121386. What is o rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14219382.\nAnswer: 2, 3, 23, 167, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65371954 by -1042.\nAnswer: 62737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1045, 1914, 2845, 3838, 4893?\nAnswer: 6010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 1549545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*p - 7 + 2, -q = -5*p + 7. Let m = 10 + -15. Put q, m, 4 in descending order.\nAnswer: 4, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 729 = 70*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61040*r**2 + 159889*r wrt r?\nAnswer: -122080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -12 and -17936 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.01, 4, -2 in decreasing order.\nAnswer: 4, 0.01, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 8*a**2 + 11*a + 19. Let z be q(-8). Let w be 0 - z\/(-18) - 16\/(-4). What is u in 1\/3*u**2 - 1\/3*u**3 + w - 1\/6*u**5 + 1\/2*u - 1\/2*u**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.6, 72, 11, -5, -4\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + -2 + 2 + 3. Suppose -11 = -3*u + 4. Suppose -v + m = 2*s, -u*s + s = -3*v - 4. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-114)\/(-7) - 2\/7. Suppose 14*l + l - 135 = 0. Suppose 0 = -5*y - 5*u + 25, 4*u + 14 - l = y. Solve -y*a - c = -p, a + 22 + 2 = -5*p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1169*g - 33068 - 8479 - 19851 = 9911 for g.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/12 + 1\/(-4). Solve -5*u = -g*m - 2*m - 10, 4*u + 3*m = -15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = 2*g. Let h = -144.2 + 134. Let s = h - 6.8. Which is the third biggest value? (a) 0.3 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 9:28 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 2982635*s**2 + 444804085840*s - 444807068480.\nAnswer: 5*(s - 1)*(s + 298264)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 + 51 = -5*n. Let l = n - 62. Suppose l*o - 30 - 15 = 0. Solve o*r + 3*w = 24, -3 = -w - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 16 + -15 - -4. Put 0, 3, 26, t in descending order.\nAnswer: 26, 3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2917785 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -56, -2, -38?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/23)\/v*v**(-1\/9)*(v*v**1*v*v*v*v*v)**(-2) assuming v is positive.\nAnswer: v**(-3146\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**10*c*c\/(c*c\/c**(1\/12)*c))**48 assuming c is positive.\nAnswer: c**436","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.76557 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*y - 21*y + 3*b + 4, -32 + 38 = 3*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/9)*b\/(b\/(b**2\/b)))**(-2\/61))**(-30) assuming b is positive.\nAnswer: b**(320\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-40 - -24 - -44).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9192, 36759, 82704, 147027, 229728, 330807, 450264?\n\"Answer: 9189*u**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 3*h**2 + 3*h + 5. Let o be r(-2). Suppose 11 - 5 = o*g. Solve -4*w - 2*i = 22, 2*w - 4*i = -2*i - g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, 1\/5, 3\/7, -75 in ascending order.\nAnswer: -75, -0.5, -0.1, 1\/5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -24*t - 3. Let d be f(-7). Let g = d - 117. Let s = 136 + -104. What is the highest common factor of g and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.29, 0.3, 4, -3, -2\/49?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 3*u + 24233 = 17*u. What is the remainder when u is divided by 116?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 3, f: 7, d: 3}. Give prob of sequence ud.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8355444127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -189037, -378072, -567107, -756142, -945177, -1134212?\n\"Answer: -189035*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from viwvvvwhhhvivvw?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 12*z + 96. Let y be 498\/(-2)*z\/48. Let j = y + 193. Does 20 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2. Let f(g) be the third derivative of g**5\/30 - 15*g**3\/2 - 10*g**2. Determine z(f(l)).\nAnswer: -4*l**4 + 180*l**2 - 2025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 3\/(-3 - -2). Let t = h - -13. Which is the nearest to t? (a) -4 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 4*g. Let h(t) = 5*t**2 + 13*t + 16. Let w(n) = h(n) - 6*j(n). What is the smallest common multiple of w(37) and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2 - 5*b - 4. Let g(u) = 3*u**2 + 4*u + 3. Let p(i) = 5*f(i) + 6*g(i). Let a(r) = -7*r**2 + 22*r - 5. Let q be a(3). Calculate p(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6544178 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8*p - 45. Let b be (-15)\/p + 1\/3. Does 7 divide (-1)\/(-2) - (-41)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 27 = 5*i - 7*p, 4 = -4*p for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k + 2 + k - 3. Let t be 0 + (-18)\/(-12)*-4. Let i be ((16\/t)\/4)\/(2\/3). What is v(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 1.46 (b) 4\/67 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*c + 13 = 0, -c = c - 6. Suppose 2*g = -n, -3*m - g - 1 = -5. What is the least common multiple of 4 and (m\/(-2))\/(7\/(-7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from {f: 2, d: 2, y: 7, s: 4, x: 1, a: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(5\/6)*m**(-5)*(m**(1\/5)\/m)\/m**(-3))\/((m\/m**(-1\/5))\/m*m*m\/(m**9\/m)*((m*m\/(m**(-2)\/m))\/m)**(-10\/3)) assuming m is positive.\nAnswer: m**(109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 893, 1853, 2857, 3905, 4997?\n\"Answer: 22*y**2 + 894*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 8*v + 7*v**3 - 8*v**2 - 24*v**3 - 9*v**3 - 12*v in the form t + a*v**3 + l*v**2 + p*v and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*f**3 + 116*f**3 + 124*f**3 + 119*f**3 - 593*f**3 + 117*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)*-4)\/(1*sqrt(108)))**2 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 268*j + 15592. Give l(184).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**8\/3360 - 3*z**7\/700 - z**6\/80 - 7*z**5\/600 + 30*z**2. Factor k(j).\nAnswer: -j**2*(j + 1)**2*(j + 7)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40456903*q**6 + 57538213*q**2 wrt q.\nAnswer: 4854828360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4 + 4403*x**3\/2 + 405893*x**2 + 736026*x - 133956 = 0. Calculate x.\nAnswer: -366, -2, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39, -62, -85?\n\"Answer: -23*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**2 - 8*g + 4 + 5*g - 4 + 8*g. Let v = -10 + 12. Let k(t) = t**2 + 3*t - v*t**2 - 3*t**2. Determine 5*k(p) - 3*r(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163.1 - -13.9. Let w = m + -180. What is the third biggest value in -3\/7, w, 0.02?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (-1475)\/20 - 1\/4. Let p = x + 67. Let d be (-1)\/2*(0\/p - 2). Solve d = -h + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 21*h. Let t(r) = -5*r**2 + 88 - 173 + 85. Give t(d(c)).\nAnswer: -2205*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.8 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -14.2.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 6*-1 + 155 + -147. Solve p*c = -4*c - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51495.71 micrometers in centimeters?\nAnswer: 5.149571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*j, 4*j = -j + 3*w + 40. Let z(b) = -b**2 + 7*b - 2. Let g be z(7). Let r be (g\/j)\/((-12)\/15). What is the nearest to 0.1 in -3\/5, r, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*w, -h - 2*h - 2*w = 8. Suppose 0*t = -4*t + 12. Sort h, t, 4.\nAnswer: h, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/9)\/(14\/6). Sort u, -2, -1\/3 in descending order.\nAnswer: u, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 2000010220210?\nAnswer: -2000010220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 - 37*w**2 + 7*w + 56. What is i(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6 = -36. Let k(r) = -r**2 + r. Let t be k(4). Let u = x - t. Calculate the remainder when 17 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 812312*u**2 + 1624596*u - 2436912.\nAnswer: 4*(u - 1)*(u + 3)*(u + 203076)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*t = 4*j + 4, 4*j + 10 = 5*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1\/2 (b) -1 (c) 37928 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/170 and -7\/344?\nAnswer: 29240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3270466 is divided by 19821.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/9, -46, 1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:49 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/129, 2\/29, 0.5 in descending order.\nAnswer: 0.5, 2\/29, -2\/129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8703.7 - 8310. Let v = 392 - b. Put 0.1, 1\/4, v in decreasing order.\nAnswer: 1\/4, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75*-153087\nAnswer: -11481525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144305?\nAnswer: 5, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1016.72 - -1041. Let b = -26.7 + g. Let m = -4.49 - b. What is m rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2473\/5 + 494. Which is the second smallest value? (a) 2\/9 (b) z (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53, -52, -51, -50, -49?\n\"Answer: p - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -2 - 0) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12320 + 33?\nAnswer: -12221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**2 - 292408*f + 292412 = 0.\nAnswer: -73103, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:25 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 224136692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 3 (c) -8 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - b + 94. Let w be x(0). Suppose w + 70 = 4*r. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 2:18 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -32 + (7 - 16) + -1 + 1 + -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by (-228)\/(-24) + -10 + 105\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6916 + 3*o**2 - 6916.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5c4469 + -193?\nAnswer: -5c462c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 6*d - 5. Let t = -4 + 9. Let x(n) = n - 4. Let y be x(-6). Let f = y + t. Determine l(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1496\/(-308))\/(-2*(-3)\/21). Does i = 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 1\/8*l**4 - 6*l - 27\/8 + l**3 - 7\/4*l**2 = 0.\nAnswer: -9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-2 - 15\/(-12)). Let h = y - -18. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 126*g - 509. Determine o(66).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -5, -2, 0.7, -403.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94200 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/10 - 19541*c**2\/2 - 2541344*c\/5 - 33041866\/5.\nAnswer: (c - 97757)*(c + 26)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w - 3*w + 18*w + 4*p = -26, 4*p = -36 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 + 6*r + 2. Let d be o(-2). Let s be d\/2 - 352\/160. Find u, given that s*u**2 + 0*u - 4\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 23 = 5*p - 8, 5*f + 3*p = -9. Let u be (-11)\/(-10) - ((-12144)\/(-220) - 54). Which is the nearest to f? (a) -0.4 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 52. Which is the second biggest value? (a) 7 (b) 0.06 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/631 and -51\/8?\nAnswer: 5048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.032 and -599.4.\nAnswer: 19.1808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-2))\/((-3)\/(-18)). What is the hundreds digit of 3 + 1 + n*39 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/(-91) - 110\/7. Let o = -21 - n. What is the second biggest value in 0.8, o, -0.2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007861653.\nAnswer: 7, 17, 743, 22709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 21. Solve 2*c + 0*c + z = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -949*l - 1425.\nAnswer: -949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -73\/10?\nAnswer: -73\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771360 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4*(-24)\/3. Suppose -2*j = -i*v + 8, 0 = 4*v - 2*v - 4. Let h = -1\/5 - 7\/15. Which is smaller: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0.2. Let v = 1.2 - -1.8. Which is the third biggest value? (a) 1\/2 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfgmfg. Give prob of sequence fgw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.18, -5, -132, 3, -3\/2, -92?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36053*b - 7 + 8 - 1.\nAnswer: -36053*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 815561 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 3, k: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/336 and 47\/3.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*(-1)\/2. Suppose -6*z = -z + 25. Let d = 1244\/6345 + 5\/1269. Put z, 1, d, v in decreasing order.\nAnswer: 1, v, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**3 + 12*l**2 - l - 25*l**2 + 27 + 2*l**3 + 11*l**2 - l**3 to v + i*l + a*l**3 + x*l**2 and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.311015 decades to millennia.\nAnswer: 0.04311015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 + -1.2. What is the nearest to 0 in 0.1, -3\/2, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v\/v**(2\/15)*v))\/v**(-27))\/(v**(2\/9))**37 assuming v is positive.\nAnswer: v**(806\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 33080*g**2 + 51111760*g + 12107413760.\nAnswer: 5*(g - 3412)**2*(g + 208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5896 - 295 = -2*w + 5*j, -j = -2*w + 6195. Suppose z - w = 1302. What is z rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 354 and 5.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 + 2 - a + a**4 - 4*a**3 + a**3 to the form n*a**2 + f + p*a + r*a**4 + m*a**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33278.1 rounded to the nearest 100?\nAnswer: -33300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 48 + 98253\nAnswer: 98301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -4*m, 0 = 17*m - 16*m + r + 4. Which is the closest to m? (a) 1\/5 (b) -5 (c) -0.1 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -131257.2 to the nearest 100.\nAnswer: -131300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168 + 235. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(5\/2)*k*k*k)\/k**(-9))**(-20)*(k\/(k**(5\/4)\/k)*k*k\/(k*k**(-1\/2))*k)\/((k\/(k*(k\/(k\/(k**(-1\/3)\/k)))\/k))\/k)**(1\/4) assuming k is positive.\nAnswer: k**(-3685\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*d + 116*d - 28. Let i be 4\/18 - (-32)\/18. Solve i*w = d*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -6. Suppose -3*f + 1 = -0*t + 2*t, 57 = 4*t - 5*f. Let m = t - 5. Sort m, y, 6 in decreasing order.\nAnswer: 6, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 255\/(-408)*(-2)\/(-5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001378 to five dps.\nAnswer: -0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**3 + 56*k**2 + 8064*k + 31104 = 0.\nAnswer: -36, -4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = 7*v + 133 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**5 + 3*x**4 + 1620*x**3 - 2855*x**2?\nAnswer: -180*x**2 + 72*x + 9720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(117) + sqrt(117) + sqrt(117)*-1))\/(-2*(sqrt(9) + sqrt(27)\/sqrt(3))).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7565+4534868\nAnswer: 4527303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 29*j - 172. Let g be a(8). Let w(b) = b + 1. Let u(r) = 4*r + 4. What is g*u(h) + 14*w(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1477*t**3*w**2 - 5*t**3 + 2*t**2*w**2 + 634*t**2*w wrt t?\nAnswer: 8862*w**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -22680 and -22854 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4284?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/153 - (-202)\/(-17). Let m be 2\/(-4)*b\/2. Solve -i - 3*p - 1 = 0, 2 + 2 = m*i + 2*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) 8\/15 (c) -302\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = 3. Suppose -3 = w - 1, -n*w - 31 = -b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-168)\/(-48) - (-12)\/(-8). Solve -5*f - 14 - 19 = -4*j, 0 = -h*j - f - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 997 + -996.1. Which is the fourth biggest value? (a) -1 (b) -5 (c) o (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55390673.\nAnswer: 13, 4260821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67.6 + 66. Let g = i - -1.6. What is the third smallest value in -24, -5, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 10:23 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110888 and 199200?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 207\/30*10\/(-48)*-2 and -5\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3987652375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (2 - 0\/1). What is the common denominator of 45 and (-585)\/(-6)*1\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 2. Let j(z) = 2*z**2 - 7. Let p(c) = 2*j(c) - 7*l(c). Let y = -10 - -15. Let n(s) = -2*s - 5 + y + 5*s. What is p(n(k))?\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/26))\/(b\/(b*b\/(b*b*b**22)*b)))\/((b*b**14)\/(b*b**(-3))) assuming b is positive.\nAnswer: b**(-989\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 7. Suppose -2*k + v = 5. Let a be 7 - (k + 3)*3. Solve -l = a*l + u + 14, -4*l = -2*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18095 - -18421.76. Round p to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78351 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9\/665 + -158243\/1995. Let j = 80 + c. Suppose -8*p - 16\/3 - j*p**3 - 4*p**2 = 0. What is p?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a day?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 25.1. Let s = 1.3 - l. Sort 0.5, s, -0.8.\nAnswer: -0.8, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -327, 5, 0, -61, -5, -18 in descending order.\nAnswer: 5, 0, -5, -18, -61, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*u = -5*h + 13*h + 1, -2 = -h - u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 7)\/(3*(-5)\/10). What is the third derivative of -3*g**6 + 5*g**6 - 19*g**k + 20*g**2 + g**3 + 5*g**3 wrt g?\nAnswer: 240*g**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6999 + 1299 = 0. Suppose -a + m = 9*a. Calculate the remainder when a is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*c - 194, -71 = -c - 4*y + 17. Find the common denominator of 0 + c*(-4)\/(-54) and -41\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjd when three letters picked without replacement from {j: 5, x: 3, d: 1, u: 1, r: 1}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g = 54021 - 2571 + 17918. What is the remainder when g is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/42 - (-11)\/7. Suppose 5*x = -3*i + 34, i + z*x = 5*x - 12. Calculate the highest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*t - 72*t = -154*t + 18. Solve t*s + 132 = 144 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + b3?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3627971*h**2 + 205160*h**3 - 3627971*h**2 - 205165*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10073?\nAnswer: 7, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**3 - 18*z**2 - 15*z + 14. Suppose -4*d = 20 - 0. Let x(i) = 4*i**3 + 9*i**2 + 8*i - 7. Let j(t) = d*x(t) - 3*h(t). Is j(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 4)*188\/(-141). What is the second derivative of 34*n**4 + 5*n**4 + 39*n**q - 11*n**4 + 22*n wrt n?\nAnswer: 804*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55663.22l in millilitres?\nAnswer: 55663220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Suppose r*p - 12 = -27. Let n be -3 + 1 + 1 + 1. Which is the nearest to n? (a) 5 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -17.7. Let o = -2 + 3. Let d = t + o. Sort -5, d, -3\/2.\nAnswer: -5, -3\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*c - 28 = 62*c. Suppose 0 = 2*t + 2 - 42. Calculate the least common multiple of ((-12)\/c)\/(2\/28) and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5148 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 7*h - 25. Let x(u) = 7*u - 10. Let d(y) = 4*y - 5. Let p(t) = h*d(t) - 3*x(t). Calculate p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i - 14*i - 129 = 51 - 6 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81779 and 1219.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 17, t: 1}. Give prob of sequence tggg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(5\/((-4810)\/(-156)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -1211201002221 (base 3) to base 15\nAnswer: -144d67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/20 and 103\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/18*90\/1950.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2886131 (base 10) to base 3\nAnswer: 12102122000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 22. Let s = -3 - a. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + y + 5 = 3*u, 2*u + 2*y = -8. Calculate the remainder when 49 is divided by (u\/2)\/((-2)\/52).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 12123332?\nAnswer: -12123333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, 1 in increasing order.\nAnswer: -4, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3151952 divided by 6793.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11\/5 (b) -5 (c) -2\/5 (d) -0.1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 - 47*w**3 + 703 - 2*w + 44*w**3 + 2*w**3 as c*w + x + m*w**2 + d*w**4 + a*w**3 and give x.\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1138*o + 129 = -1038*o + 729 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m**4 + 85990*m**3 + 2139750*m**2 = 0. What is m?\nAnswer: -42795\/8, -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1332)\/1350)\/(-37))\/(4\/(-20)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3*(sqrt(500) + 0) - sqrt(500)*-1*5)**2.\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69864.13ml to litres.\nAnswer: 69.86413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116271, -116307, -116343?\nAnswer: -116379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37513 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -13. Let f be 197998\/10 - (-1)\/t. What is f rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18161.\nAnswer: 11, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h - 5*h + 9*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5*z - 289955*m**4*z**2 + 2*m**2*z + 17*m*z**2 + m*z + 6*z**2 - 33 wrt m?\nAnswer: 60*m**2*z - 6958920*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.8256 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 794, 787, 780?\n\"Answer: -7*q + 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l = 45*l + 68*l - 2652. Solve 0 = 281*i - 264*i - l for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311332801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 41\/2 of a microgram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-65) + -2)\/(163\/2445).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -4*y - r + 4, r - 4 = 2*y. Let x(q) be the second derivative of y - 1\/28*q**4 + 8*q + 1\/14*q**3 + 0*q**2. Factor x(k).\nAnswer: -3*k*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 - 4*k**2 + 3*k + 4. Let i(n) = -5*n**3 + 5*n**2 - 4*n - 4. Calculate -3*i(r) - 4*l(r).\nAnswer: -r**3 + r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*v - 69*v - 24. Let b(g) = -g**2 - 6*g + 4. Let z be b(-6). Solve -13 = 3*i - 2*w, -z*i + 5*w - 30 + v = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.3 - 1.5. What is the second biggest value in t, -0.1, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 6 + 15)*(12*a + 4*a - 9*a)*(37 - 37 + 24*a) as l + x*a + d*a**2 and give d.\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 201\/46 + -112\/23. Which is the closest to f? (a) -2\/13 (b) -2 (c) 7 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 6*o. Let h be y(-5). Let w(t) = -t**3 - 4*t**2 + 4*t - 1. Suppose 9 = 2*u - 13. Calculate the lowest common multiple of w(h) and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**2. Let x(h) = h**2 + 11*h + 12. Let n be x(-10). Let y(u) = 33*u + u**n - 33*u. What is f(y(v))?\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a - 4*u - 33, -4*a + 550 - 560 = -3*a - 5*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.115788nm to meters.\nAnswer: 0.000000002115788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1. Let t = 55 + -56. What is the nearest to t in 3, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0 - 2*i**2 + 63*i + 1\/6*i**3. Let v(x) = -x + 1. Give -d(z) - 5*v(z).\nAnswer: 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 60. Suppose 2*x - s = -3*x. Let d(l) = -l - 3. Let y be d(-6). Calculate the greatest common factor of y and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x - 27. Suppose 4*j + 0*k = -k + x, 0 = -j - k. Solve -21 = 5*q + 4*d, j*q + 5*d + 0*d + 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + -2. Let o(v) = v**3 + 9*v**2 + 2*v + 7. Is o(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -0.4 (b) -2\/7 (c) -0.3 (d) 1907 (e) 11\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 12:20 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5370 and 27059967?\nAnswer: 270599670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -85*f**3 - 7*f**2 - 4*f. Let t(a) = -171*a**3 - 15*a**2 - 9*a. Determine 9*d(u) - 4*t(u).\nAnswer: -81*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.24 in 4\/7, -153, -2\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:11 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 3*t. Let x(y) = y**2 + 5*y + 5. Let w be x(-5). Suppose 3*o + 22 = -2*j, 0 = -w*o + 7*j - 2*j + 5. List the prime factors of i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -98 + 105 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 845358301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (2 + (1 + sqrt(2592) - sqrt(2592)))**2 + ((sqrt(2592)*-1)**2 + -4)*3 + 3.\nAnswer: 7769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/3 - 4*u**2 + 1484*u - 21460\/3.\nAnswer: -4*(u - 29)*(u - 5)*(u + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 k when three letters picked without replacement from vkkvzkk.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48390 + 1961. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 411738518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*b + 295 - 411 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5\/5 - n**4 + 27074*n**3\/5 + 803188*n**2\/5 + 6706952*n\/5 + 10417792\/5 = 0. Calculate n.\nAnswer: -151, -14, -2, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*r + 1264. Suppose r = 3*c + 16. What is c rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/(-2 + 0))\/((-12)\/(-45)) and 30\/50 - (-106)\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:59 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-9 + (2 - -1)). Let k = 15 - b. Is 8 a factor of ((-8)\/(-2))\/(2\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.9998999 + 28. What is v rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1653, -4, 0, 1, 19 in descending order.\nAnswer: 19, 1, 0, -4, -1653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 20\/(560\/21). Find c such that -r*c**3 + 0 + 0*c + 1\/4*c**4 - 1\/2*c**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/7 of a week in hours?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 10*r**2 + 10*r + 4. Let k be o(-5). Let q = k - -46. Suppose 11*a + 298 - 1354 = q. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 82 + 48)*(-v**3 + 3*v**3 - 4*v**3).\nAnswer: -220*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 20 - 4 = -4*t, -2*t + 6 = -j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1130400 and 97200.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 189914068 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65 * 0.11.\nAnswer: 7.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-38)*3624\/9060?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17207805 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 k, and 1 l when four letters picked without replacement from {l: 3, o: 2, k: 2, p: 3, g: 1, q: 7}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -242 divided by -273\nAnswer: 242\/273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.236177454 to three decimal places.\nAnswer: 1.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10707*x**2 + 277*x + 26?\nAnswer: 21414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-311 + 115 - 171 - 276 + 14)*(o - 4*o + 2*o).\nAnswer: 629*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 0 + 4 - sqrt(180) - sqrt(20)\/(3*(sqrt(4) - (sqrt(4) + sqrt(4)*1)) - sqrt(4)).\nAnswer: sqrt(5)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(1\/6)))**(3\/7)*(g**(-2)\/g*g)**(-11) assuming g is positive.\nAnswer: g**(309\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3002*f - 214226 + 214227 + 2*f**2 - 782*f.\nAnswer: 2*f**2 - 3784*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(24)\/((sqrt(120) + (sqrt(120) + (sqrt(120) - 2*sqrt(120)) - sqrt(120) - sqrt(120)))\/sqrt(10))*4 + -2)**2.\nAnswer: -57 - 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w - 15*w = 12. Which is bigger: w or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 3) to base 2.\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**4 + 849333113*d**3 - 43469*d**2 - 32*d - 29 wrt d?\nAnswer: -24*d + 5095998678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 385432681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118 - 19 - (-61 - -86).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005427593 rounded to 6 decimal places?\nAnswer: 0.000543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 18 = 3*f. Let x be 6*3\/63*(-14)\/18. Put f, x, 4 in increasing order.\nAnswer: f, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 18, 29, 42?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4942219 rounded to 1 dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217877 is divided by 939?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2\/5, 0, 3\/80, -1\/2, 2\/107, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(135\/(-150))\/((-3)\/30).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86182 is divided by 14304.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 775 - 137. Suppose m + 10672 = 13*c. Does 30 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 2\/5*c**4 + 0*c**2 + 6\/25*c**5 - 6 + 2\/15*c**3 + 0*c. Solve y(r) = 0 for r.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47004367 - -1?\nAnswer: -47004366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h + 210 = -10*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 285 + -221. Let f = -64.6 + h. Let d = 97\/54 - 8\/27. Which is smaller: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -625047 or -625048?\nAnswer: -625047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41108 - 21267. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(68)\/sqrt(4)*-1 - (sqrt(34)\/sqrt(2)*1)**2)*6 + (2*sqrt(136)*-2)\/(sqrt(512) + sqrt(32)))*4.\nAnswer: -424 - 128*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytysttyssssytts. Give prob of sequence ys.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*a**2 + 653*a**2 - 445*a**2 - 48 + 4*a**3 + 147.\nAnswer: 4*a**3 + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6766 + -6770. Sort -3, -1, 3\/8, m, -12.\nAnswer: -12, m, -3, -1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -n + r + 17, -r - 13 = -4*n. What is the third derivative of 3*d**5 - 5*d**5 - n*d**2 - 4*d**2 - 5*d**5 wrt d?\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/91 - 140\/(-104))*(-56)\/42\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/3)\/(l\/(l\/(l\/l**(4\/3))))*l*l*l**0*l**6 assuming l is positive.\nAnswer: l**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 12 = 54. Solve 5*o - 3*i - y = 0, -4*o - 2*i + 9 = 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(13 + 17 - 27 + 22*p).\nAnswer: 66*p + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16415 and 138020?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 7*s + 3*s + (-2*s - 1 + 1)*(-3 - 11 + 5) - 2 + 2 - 1 + s)*(-3 + 3 + s**2).\nAnswer: 27*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 100 - 99 = k, 0 = 3*k - u - 38 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188823 and 16153?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 - -316\/3. Let r = -0.2 + 0.7. What is the second biggest value in r, v, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2\/(-3 + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 20*y + 68. Let v be h(9). Let p = 420 - v. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 6, p: 1, r: 9, j: 1, c: 2}. What is prob of picking 2 r and 1 h?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*i = 203*i + 3*s + 28, -2*i + 36 = s for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 1. Let d(n) = 52*n + 11. Let i(f) = -d(f) - 5*p(f). Let m be i(-2). Suppose 3*a + m = 3*c, 0*a = -c - 5*a + 48. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9394, -9434, -9506, -9616, -9770, -9974, -10234, -10556?\nAnswer: -10946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -17*g**7\/210 + g**3 - 2*g**2. Differentiate y(h) with respect to h.\nAnswer: -68*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16230 (base 7) to base 3.\nAnswer: -20021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -112*o + 107*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from qazaqqqqazqaqqzzqzq.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 443447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183877 is divided by 60835?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 635080 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73.8 - 75.8. What is the smallest value in -112, j, 2, 2\/15?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469 take away -0.08636?\nAnswer: 2469.08636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011270756 to 6 decimal places.\nAnswer: 0.011271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -159 + 159 + 12*q + (-3*q + 4*q - 3*q)*(-4 + 4 + 2).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*1*sqrt(108))\/sqrt(3)*-2)\/(3*sqrt(972)*-1*2))**2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - 2*t + 16. Let r be j(8). Let f = r - 140. Calculate the remainder when f is divided by (-1)\/(52\/54 + -1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4491*r**2 - 4457*r**2 + 17862*r**2 - 4450*r**2 - 4460*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 3614?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2130 - -1106. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.07 - -3.07. Let t = -1.38 - -1.38. Which is the nearest to 1? (a) y (b) 2\/19 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t - 234*t**2 + 16\/7*t**3 + 1\/735*t**7 + 20\/21*t**4 + 0 + 1\/35*t**6 + 8\/35*t**5. Factor n(v).\nAnswer: 2*(v + 2)**3*(v + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 57*a**2 + 430*a + 344. Calculate the remainder when 622 is divided by v(48).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.19 + 0.01. What is the nearest to -0.5 in 0.4, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*-1*sqrt(1920))\/(sqrt(36)\/((sqrt(72)*-1)\/sqrt(12))).\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 - 64. Let x = b + 159. Let q = 404 - 2834\/7. What is the smallest value in q, -7, x?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0 (c) 0.2 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-5 - -6) + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 2*l + 51 - 17 = 7*y, 86 = 5*y - 4*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6)*15*-1 + 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -1)*(-8)\/4. Let t(g) = -c*g - 4*g**2 + 6*g**2 + g**2 + 4. Let p(b) = 5*b - 5 + 2*b**2 - 4*b - 4*b + 8. What is 4*p(m) - 3*t(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 12*c + 10. Let n(d) = d + 1. Let q be 5453\/14 + ((-7)\/2)\/(-7). Suppose -12*b - q = b. Determine b*n(z) + 3*t(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*z + 4*z. What is the highest common divisor of z and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*u - 2 = 0, -2*u + 5 = 5*m + 3*u. Let a(i) = 7*i**2 - 9*i + 13 + i**3 + 3*i**2 - i**m. Is a(-10) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 2*j**2 - 4. Let o be h(3). Suppose 4*c + 711 = 13*c. What is the remainder when c is divided by 1\/o - (-2448)\/60?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7a2204 (base 11) to base 14\nAnswer: -253391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 + -487\/7. What is the second smallest value in -5, f, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 21*w**2 - 74*w - 49. Let l be m(16). What is the second biggest value in 3\/7, l, -2\/5, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 6*j = 24. Suppose h - 3*k - j = -0*k, 3*h + 3*k = 12. Solve h*c + 2*b = -9, -3*c - b = c + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**5\/20 + h**4\/2 + 2*h**3 + 4*h**2 + 16*h. Let x be b(7). Let a = 139 - x. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5. Let u(o) = o + 5. Let g be u(s). Solve -5*i + 16 = -5*j + 1, 3*i - 17 = -g*j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p*r*t*w**2 - 2*p*r*t*w + p*r*w - 5*p*t*w - 2*p*t - 3*p*w**3 + r + 17*t*w**2 + 64*t*w + 2*w**3 wrt w.\nAnswer: 6*p*r*t - 18*p*w + 34*t + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 206*r**2 + 152*r**2 + 625*r**2 + 547*r**2 to w*r**2 + x*r + s and give w.\nAnswer: 1530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/9267671 and -16\/49.\nAnswer: 64873697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1203 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81900, -83879, -85858, -87837, -89816, -91795?\nAnswer: -93774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/((p**(2\/21)*p)\/p)*p*p*p*p\/p**(-1\/70) assuming p is positive.\nAnswer: p**(1243\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/59, 2\/3, 3?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 0. Let l(n) = -8*n**3 - 2*n - 1. Let y be l(-2). Let c = 122 - y. What is the highest common factor of w and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(252) + 1)**2.\nAnswer: -12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -1\/5 (c) -1\/4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*i - 65*i - 130*i)*(-i + 0*i + 2*i)*(-3 - 4 + 3).\nAnswer: 996*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*b - 257, 0 = -2*d + 3*d + 5*b + 91. Let c = d - -118. Solve -3*r = c*t - 17, -2*r = -7*r + 25 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 67*z**2 - 1756*z - 9944. Calculate c(31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -46. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12610 divided by 4.\nAnswer: -6305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25937236?\nAnswer: 2, 13, 239, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*i = 4, 3*h + 3*i = -2*h + 22. Suppose k - 101 = 3*u - u, h*k - 196 = u. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (40 - (118 - 54)) - (138 - 0)?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + q + 1 = 0, 2 = 2*f - 3*q - 0. Let b be 4*3\/((-6)\/5). Let n be (-8)\/b + 4\/(-10). What is the closest to f in n, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3182361, -3182358, -3182355, -3182352, -3182349?\n\"Answer: 3*p - 3182364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 172\/36 + 21474004\/18. Round s to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-1)\/(-1))\/((-146)\/73)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90582 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/((-170)\/102). Suppose -9 = -3*q - v, -6*q + q = -2*v - 15. Is f smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**4\/12 + 5*w**3\/3 - w**2\/2 - 7*w. Let k(l) = -3*l + 37. Let m be k(9). Suppose -13*u - m = -14*u. Calculate o(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 542288 - 1?\nAnswer: 542287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1 - 2*o - 2 + 0. Let y be n(-2). Suppose 4*c - 42 = -3*d + 5*d, 15 = 2*c + 5*d. Solve -k = -y*k + c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18353502983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -0*o + 2*o - 508, 3*p - 4*o - 403 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.744 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6566\/7504*(-4)\/14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13840125 is divided by 5565.\nAnswer: 5535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = 29138 - 76174. What are the prime factors of m?\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 16, -25, -16, 0, 5 in descending order.\nAnswer: 16, 5, 0, -8, -16, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19358766.\nAnswer: 2, 3, 7, 153641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:59 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-286)\/(-91)*5\/2*(-105)\/(-75)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12103747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*b**2*w**3 + 3563*b**2 - 21*b*w**3 wrt w?\nAnswer: -39*b**2*w**2 - 63*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(14 + (7 - 14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -60*r + 4510. What is i(72)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/42 and 137\/26441682.\nAnswer: 185091774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6197, -6470, -6815, -7232, -7721, -8282?\n\"Answer: -36*j**2 - 165*j - 5996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39705, -39698, -39685, -39666, -39641?\n\"Answer: 3*g**2 - 2*g - 39706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 3*k**2 + 4*k. Let b(p) = -2*p**3 - 4*p**2 - 5*p. Let c(z) be the third derivative of -z**5\/15 - z**2. Let f be c(1). What is f*n(g) - 3*b(g)?\nAnswer: 2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 2*b + 3. Let z be t(1). Suppose z = -5*q + 566 + 899. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 876551800 to the power of 1\/2, to the nearest integer?\nAnswer: 29607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30342, -121355, -273036, -485385, -758402, -1092087?\n\"Answer: -30334*k**2 - 11*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 - 108. Let q(k) = 10*k**2 - 2*k - 6. What is the units digit of q(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**3\/3 - z. Let c(y) = -2*y + 2. Let l(x) = -16*x + 13. Let s(h) = -6*c(h) + l(h). What is 5*m(q) - 3*s(q)?\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5783.\nAnswer: 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 15*l + 5*g + 21 = 0, 4*l + 12 = -4*g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-3))\/s)\/s**9)\/(s**(4\/3)\/(s*s**3)) assuming s is positive.\nAnswer: s**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 45 = f, -10*g + 2*f + 50 = -4*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 4) in base 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32.3 - 32. What is the closest to -2\/23 in -0.1, g, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 966*g - 1655*g - 815*g - 37600 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 170 = 1320*o - 1323*o, 11 = 4*o + u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 191.045787 to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11507, 24, -2, 0 in decreasing order.\nAnswer: 11507, 24, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnuuuuzuuuzuuunuu. What is prob of sequence nnzz?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 10 (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (-15)\/9)*3. Suppose y*b = 22 - 2. Let v = 30 - b. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 2*b + 12. Let z = b + 1. Let m = z + 5. Calculate the remainder when 25 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7938144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 8. Suppose -3*i + 242 = 131. Let f = -27 + i. Calculate the lowest common multiple of f and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.03, 4\/9, 0.5, -4\/11?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1282 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 36 = -3*v, -2*n = 2*v + 14 + 10. Let f be ((-4)\/v)\/((-1)\/(-2)). Let q = -68918 - -68918. Which is bigger: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by -11\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*i + 5*i + 0*i)*(4 + 0 - 2) + 0 - i + 0 + 33*i + 12*i + 88*i)*(-1 + 3*i - i - 1) to the form u*i**2 + x*i + m and give x.\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2015 + 2500. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -93, -41, 99, 369, 811, 1467?\n\"Answer: 7*l**3 + 2*l**2 - 3*l - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41918\/55 greater than 761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/11 - -37\/132. Let d = 0.37 - 0.07. What is the biggest value in p, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 > 8223\/169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b. Let h(n) = 1324995*n. Give l(h(k)).\nAnswer: 2649990*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -63602, -63463, -63324, -63185, -63046, -62907?\n\"Answer: 139*a - 63741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -282*z**2 - 1541*z + 102. Determine j(-6).\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 4. Suppose 17 = 8*g - 15. Suppose -3*a = -5*a + g*r - 14, -2 = 2*r. Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.12 + 6.12. Sort r, 1\/3, 1\/4 in decreasing order.\nAnswer: 1\/3, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 374.7 - 375. Let m = -5874 - -58859\/10. Let y = m + -12. What is the closest to 1 in 2, y, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3433*k**3 - k**2 + 36130*k wrt k.\nAnswer: -20598*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.18586 rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (-13 + 24)) + 2 - (0 - -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3117 - 3077 = -5*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:43 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x + 87 = -17 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1335\/120 - 11 - 1008002\/16. What is o rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -53.25?\nAnswer: 5.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -265\/27 in 2, -3\/5, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.11 + 26. Let n = d + 0.175. Let o = -0.011 + n. What is o rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 + 0.8. Let d = 6 + -6. Put d, 4, g in increasing order.\nAnswer: d, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m = 14*m + p - 29, 14*p - 24*p = -14 - 6 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 111\/(-18) + 6 - 500\/(-120). Solve -o = 3*f - 1, 3*s = 2*f + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - (0 + -3)) + 189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2044*m + 5817. Determine j(-3).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.63 * -21437.5\nAnswer: -13505.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36, -70, -128, -210, -316, -446, -600?\n\"Answer: -12*g**2 + 2*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 16*l - 13*l - 7*l. Factor 8\/11*z - 6\/11 - 2\/11*z**l.\nAnswer: -2*(z - 3)*(z - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 20 + (-7 - 10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 114. What is t(10)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4*(sqrt(243)*-5 + -2))**2 + 4*(5*sqrt(3)*-5 - sqrt(3))*-1).\nAnswer: -97264 - 2984*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 4, 15, 2, 9 in increasing order.\nAnswer: -10, -3, 2, 4, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119643 and 3819?\nAnswer: 8016081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-56 - -33) + 24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8001*y - 7865*y = -816 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -124*a**3 - 2*a**2. Let i(w) = -11655*w**3 - 189*w**2. What is -2*i(v) + 189*q(v)?\nAnswer: -126*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 6*m + 7. Let l be c(6). Solve o + 13 = -j - 2*o, 4*j + 3*o + l = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 3, b: 12}. Give prob of picking 2 b and 1 q.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9\/2 (b) 0.014 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -16776458130.\nAnswer: -16776458131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -73. Let o = 27 + -26.9. What is the fourth biggest value in p, o, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -10. Let d(n) = -n + 26. Does 13 divide d(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 - 167?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 3. Suppose 0 = -4*c + c - 24. Let u(g) = -7*g + 25. Let t(f) = -10*f + 38. Let o(a) = c*u(a) + 5*t(a). Let s = 3 - 1. Give s*o(p) + 7*d(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 50 + 14 = -3*q, -3*j = -3*q - 18. Let z = -4 + 3.9. Which is the nearest to z? (a) -0.1 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -33 - 2 - 2\/6. Let y = -36 - t. Which is bigger: 9 or y?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 63*h + 151. Calculate m(-34).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5 + 56*y**4 + 320*y**3 - 1188*y**2 - 1890*y + 2700 = 0. Calculate y.\nAnswer: -15, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 4*l - 9. Suppose -j - 30 = 3*c - 2*j, -j + 12 = -c. Let p be h(c). Let r(k) = 35*k - p*k + 2 + 0. Determine r(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 9:08 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**5 + 104538*a**4 + 9012456*a**3.\nAnswer: -3*a**3*(a - 34932)*(a + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*q - 32*q - 5*q**2 - 2 + 6*q**2 - 8*q**2.\nAnswer: -7*q**2 - 178*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -12, -1\/4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2039 to 3 dps.\nAnswer: 0.204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k + 4*k - 13*k**4 + 2*k + 2*k**4 - 2*k - 1 - k**4 + 1 + 0*k**4 + 3*k**4 - 4*k**4 + (4*k - 2*k + 0*k)*(-k**3 - k**3 + 4*k**3).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*k**4 + 4\/7*k**2 + 8\/7*k**3 - 8\/7*k - 6\/7 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 29 + (7 - (12 - 4)) - 42?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 4*d**2 + d**2)*(-1 + 0 + 0) + 35*d**2 + 263*d**2 - 3*d**2 + d**2 - 6*d**2 + 3*d**2 + (2*d - d + d)*(-31 + 31 + 11*d).\nAnswer: 313*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1623*d = -799*d - 803*d - 3806691. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8652.026ms in nanoseconds?\nAnswer: 8652026000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016704739 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/(-21)*(1 - 4). Let v(j) = 12*j. Let d(u) = 11*u. Let n(q) = f*v(q) + 4*d(q). Let k(c) = 2*c. Calculate n(k(x)).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 10*g = 6*g - 1, 2*g - 3 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 5226784.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -2*q**2 - 60*q - 37. Let d be p(-15). Solve 17*a - 16*a = d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527*z + 171*z = -586*z + 29532 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*h - 0*h - 48, -8 = -h - b. Solve 4*r = -2*o - r - 13, 2*o + h = -4*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(84) + sqrt(84))*1 - (sqrt(84) + (sqrt(84) - -6*(sqrt(84)*3 + sqrt(84) + sqrt(84)))))\/((sqrt(300) + 1*sqrt(300))*-3*-5).\nAnswer: -14*sqrt(7)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 1. Let u(o) = 3*o + 4. Let j(l) = -4*n(l) + u(l). Let x(f) = f**2. Determine x(j(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 6:33 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**3 - 4. Let b(t) = -3*t**3 + t - 4. Let h(w) = -3*b(w) + 2*z(w). Let y be h(-3). Let x = y + 21. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*w - 10*y - 1110 = -6*y + 737, -2*y + 1 = -y + 2 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 29 - 90\/14 - ((-29971)\/(-301) - 29)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -1.708.\nAnswer: 3.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 814\nAnswer: -4884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28316054 and 262102.\nAnswer: 9038","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 3460.\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j + 1. Let s = 8 - 5. Let p(y) = -2 + 5 + s*y + 8*y + 0*y. Calculate 9*d(a) - 4*p(a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1313269?\nAnswer: 61, 21529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10387950 + 0.1\nAnswer: 10387950.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -12*x + 1. Let i(v) = -4*v. Let d(p) = -7*i(p) + 2*t(p). Let m(s) = 4 + 0*s - s**2 + 3*s + 6*s. Calculate -5*d(c) + 2*m(c).\nAnswer: -2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/38)\/(5\/(-28)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 10.8. Let i = p - 0.4. Let t = -1 - -0.7. Which is the nearest to 1? (a) i (b) t (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3)\/((-9)\/(-6)). Let i = z + -7\/72. Let j be -5 - ((-1)\/5)\/((-819)\/(-90) + -9). Which is the third biggest value? (a) j (b) 7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 0 + 0*d - 1\/24*d**4 - 1\/60*d**5 + d**2 + 1\/2*d**3. Let u be v(0). Solve -2*j - 11 = -3*h, 2*j + u*h = -2*j - 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100111 (base 3) in base 16?\nAnswer: 6b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*3*sqrt(187)*1)\/((sqrt(121) + 1*sqrt(121) + sqrt(121))\/sqrt(11) - (sqrt(33)\/sqrt(3)*-1 - sqrt(11) - sqrt(11))))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107000439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w + 3*w + 2*w + (4 + w - 4)*(0 - 1 + 0) + 23*w + 14*w + 79*w.\nAnswer: 113*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 36 (b) 11 (c) -0.17 (d) -0.2 (e) -1 (f) -4 (g) -36.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuiu when four letters picked without replacement from {i: 3, u: 1, s: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**4 - 9*n**4 + 1 + 13*n**4 wrt n?\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41457, 165843, 373159, 663411, 1036605, 1492747, 2031843, 2653899?\nAnswer: 3358921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5858.5658 to the nearest 10.\nAnswer: 5860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**4 - 45*t**3 + 48*t**2 = 0. What is t?\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 113221143?\nAnswer: -113221203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -15, -3\/4 in descending order.\nAnswer: 5, 1, -3\/4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11212102000000112 - -10?\nAnswer: 11212102000000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 63*i**3 + 3*i**2 + 5*i + 4. Let n be 2\/4*(-1 + -7). Let z be o(n). Let m be (z\/(-6))\/((-6)\/495). What is m rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201200022230 (base 4) to base 13.\nAnswer: 1a86667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diayd. Give prob of picking 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b**13*b)*b)*b*b*b\/b**(-4\/13))**(-3\/19))**(-17) assuming b is positive.\nAnswer: b**(11475\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 683541880 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 413697719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1547 = -458*j - 9333 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -355.13 to zero dps.\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 28 and 23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3347*j**3 - 6*j**2 - 4*j + 2. Let f be d(-1). Suppose k - 2*p + 3329 = 6*k, -4*p - f = -5*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -6133359.\nAnswer: -6133361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -50478507 to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 844931 = 5*r, 155749 + 182215 = 2*r + 5*o. Let a = -19987 + r. What is a rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 621 + -617. Solve 32 = o*g + 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/1780 - -243887\/16020. Let d = n - 15. Let i = -31\/2 + 15. Are d and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661 + 646 - 441 = 165*t + 1689 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3\/7 - 7941*q**2\/7 - 79710*q\/7 = 0.\nAnswer: -10, 0, 2657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4464*p - 1 - 4470*p - 4463*p + 13391*p.\nAnswer: -6*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14112 and 23520?\nAnswer: 70560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2 + 182 - d**2 + 8446*d - 7989*d + 4*d**2 = 0. Calculate d.\nAnswer: -91, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/11, 2, 6.66, -2, 2\/5, 0.5.\nAnswer: -2, 2\/5, 5\/11, 0.5, 2, 6.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b**3 + 453*b**2\/2 + 729*b + 945\/2 = 0.\nAnswer: -15, -3, -7\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39458\/105 or -375?\nAnswer: -375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 7:45 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 26 = -r, 2*a + 3*a + 314*r - 2 = 317*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181361\/30 + -6044. Calculate the common denominator of 8\/393 and f.\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mut when three letters picked without replacement from {t: 1, f: 1, m: 1, b: 2, u: 1, g: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 57 - 137. Suppose 3*b - 160 = b. What is the highest common divisor of g and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 883306010 to the nearest integer?\nAnswer: 29720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/40 in 34, 0.055331, -3?\nAnswer: 0.055331","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-9 + (-564)\/(-54)) - 9)*-57\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005954020221 rounded to 4 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1985443383 to the nearest integer?\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 243455 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 - 70. Suppose -f + 3*f - 70 = 0. What is the remainder when l is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yss when three letters picked without replacement from {p: 1, m: 4, y: 2, l: 2, v: 3, s: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + (-1 - -2))*-35. Suppose -4*q - f = -4*x - x, -x = q - 7. Calculate the remainder when 25 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -186*b**3*f*l - 159*b**3*f - b**3*l - 38*b**3 + 3*b**2*f*l - 118*b*f + 96*f*l - f wrt b.\nAnswer: -1116*f*l - 954*f - 6*l - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 = 5*f + 8. Is 147\/14*f\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607203 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/55 in -3\/4, -4\/3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4097 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 13) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4798 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - (-56076)\/1168)*(-16)\/(-6)?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -24. Suppose x - 68 = -d*h, 0 = -4*h - 2*x - x + 138. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/6650 and -17\/66500.\nAnswer: 66500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9009*i - 5684688. Calculate n(-631).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/8 - -2)*2. Suppose 0 = -3*r - 5*q - 30, -r - 20 = 2*q + 3*q. Let b = -7 - -7. Sort r, f, b in increasing order.\nAnswer: r, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**2*a*a)**(-24)*a**(-2\/13)\/a**4 assuming a is positive.\nAnswer: a**(-1926\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15808 and 1672?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i - 2*i + 6*i + (3*i + 0 + 0)*(16 - 57 - 28) - 4*i - 2*i - 1 + 3.\nAnswer: -206*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 603 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -503 (base 10) to base 15\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110651424 to the nearest integer?\nAnswer: 10519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 0. Suppose 0 = -0*l + 5*l - v*d - 77, 5*l + 2*d = 59. Is l + 1 + -1 + 1 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00115251 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 9*l + 8. Suppose 4*t = -16, -3*q = -2*q + t - 18. Calculate the lowest common multiple of q and z(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 852 + -958. Which is greater: l or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 5*w**2 + w + 7. Let h be r(-5). Suppose -4*o = -h - 14. Suppose 519 = 4*v + 2*f + f, f = o*v - 515. What are the prime factors of v?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -18618.72?\nAnswer: 74474.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, 1, 2, 3?\n\"Answer: f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 285679306.4 rounded to the nearest one hundred thousand?\nAnswer: 285700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1449 and 3381?\nAnswer: 10143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0320944617 to 6 dps.\nAnswer: -0.032094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 542\/6*(-9)\/3. Let p = g + 329. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.556334 days to milliseconds.\nAnswer: 566467257.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 2, -221?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + w - 4577, 2*m + 2331 = 4*w - 717. Let c = 2325 + m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -285*(-5 - 39\/(-9))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1 = 16. Suppose 2*t + 2 = x*t. What is the second derivative of -6*q + q + 0*q - q + 5*q**t wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 1. Let b(j) = -15*j + 5. Let u(t) = b(t) - 5*z(t). Let g(s) = -s + 112 - 112. Let c(n) = -2*n. Let h(d) = 6*c(d) - 13*g(d). Determine h(u(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*t = -72, -3*i + t = -3*t + 76. Let h = 53 + i. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -364\/11 >= 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59993405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 500261089 to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 6*m**2 - 5*m - 2. Give g(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -220869 divided by 207?\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -80499748, -80499749, -80499750?\n\"Answer: -x - 80499747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7308333, 14616661, 21924989?\nAnswer: 29233317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s - 19. Let o be f(2). Let p be 8 - -8*(-1 + o\/(-6)). Calculate the greatest common factor of 232 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 5*p**2 - 5*p - 8. Let m be h(6). Let c be 45\/3*m\/(-3). Suppose -11*y + 10 = -6*y. What is the greatest common divisor of c and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 118*m - 4130. Let w be p(35). Which is the nearest to -2\/25? (a) 28 (b) -0.1 (c) w (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 16?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(1\/2 - 2). Let i = -111876\/13 + 8606. Which is the third smallest value? (a) -3 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -4*y - y - 7, 5*s = 5*y - 35 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 357 + -229. Let d = -133 + o. Which is the second smallest value? (a) d (b) 3.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009677 to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-8)*400\/(-700).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 934391043678 and 1547.\nAnswer: 934391045225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1811, -3615, -5411, -7199, -8979, -10751, -12515?\n\"Answer: 4*c**2 - 1816*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = -14*u - 4. Factor 13*w**2 + 177*w - 14*w**u + 16 - 171*w.\nAnswer: -(w - 8)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 31*u - 562. Does 3 divide x(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**4\/4 + 5*r**3\/3 - 2*r**2 - 3*r - 494. Calculate o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96387 divided by 12.\nAnswer: 32129\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 412533 (b) 2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13818429 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/17 in -2\/9, -2\/5, 2\/13, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvuppvyxpvvfyvu. What is prob of sequence vf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*-5*-2*sqrt(2)*-2*-1*2)**2 + -5.\nAnswer: 51191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-6 - -20) - (2 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59\/4 - -161\/12. Sort -3\/7, -1\/19, a.\nAnswer: a, -3\/7, -1\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-39.\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(sqrt(1331) - (-1 + -2*sqrt(1331) + sqrt(1331))**2).\nAnswer: -7992 - 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (179280\/(-29050))\/((-27)\/21)\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-276)*(108\/(-16))\/(-9)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 18 + 60 = -5*r, 3*r + 15 = 0. What is the second derivative of 12 - 41*f + d*f**2 + 4 - 16 wrt f?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1204494 at least as big as -1204494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1854*o**2 + 5446*o**2 + 970*o**2 + 9040*o**2 - 4*o**2 - 2*o**2 + 7*o**2 + (3*o - 3*o + 2*o)*(5*o - 5*o - 2*o) as a + v*o + w*o**2 and give w.\nAnswer: 13599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 5 (c) 98 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 5, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002742 to 6 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9884.27 nanoseconds to microseconds.\nAnswer: 9.88427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/2 + 36084465*o + 434029538112075\/2.\nAnswer: 3*(o + 12028155)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2)*8\/68. Which is the nearest to -1\/3? (a) q (b) -2\/7 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 12*z**2 - 11*z - 1. Let g be v(11). Let s = -19 - g. What are the prime factors of (-608)\/s + (-8)\/(-36)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18030 and -0.1703.\nAnswer: 3070.509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -17*w - 5*i - 159, -5*w = 5*i - 615. Solve -w*v + 54 = -111*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001019873 to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r + b, 0 = r - 3*b - b - 1. What is the greatest common divisor of r and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(33)\/sqrt(44).\nAnswer: sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5056 + -5055. Let i(r) = r**2 - r. Let h(o) = 2*o**3 + o**2 - 2*o + 2. Determine b*h(x) + i(x).\nAnswer: 2*x**3 + 2*x**2 - 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 49578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**4*t - 954*n**3*t**2 - 38*n - 164*t**2 wrt n.\nAnswer: -36*n**2*t - 5724*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -j + 12, -5*j - 16 = -9*j. Let a(q) = q**3 + 3*q**2 + 20*q + 44. Let m be a(c). Solve x + x - 5*y = -14, -4*y = -m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*j + 100 + 90, 5*j - 178 = -b. What is the lowest common multiple of j\/(-10)*20\/(-12) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 4*w. Suppose -24*t = -57 - 15. Let s be (-2)\/7 - 78\/21. Let p(r) = -2*r**2 + 3*r + 3*r**2 + 2*r**2 - r**2. What is s*p(o) + t*h(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*w + 12 = 4*w, 0 = 2*g - 4*w. Let k = -4 - g. Suppose -4*h = h - k*a - 147, -2*a - 89 = -3*h. What is the remainder when h is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 24 = 2*w. Let y = -8654 + 8681. What is the remainder when y is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*u**4 + 979*u**3 + u**2 - 35023*u - 368.\nAnswer: 96*u**2 + 5874*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 0.043, 35.93 in descending order.\nAnswer: 35.93, 0.043, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crcc when four letters picked without replacement from rrrrrrrrccrrrcrrcrrr.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13101303132 (base 4) to base 8.\nAnswer: 7216336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*y**2 + 48210*g*y + 95304*g - 1 wrt y.\nAnswer: -4*g*y + 48210*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v + v)*(2*v - 2*v - 2*v**3) + 5*v**4 - v**4 - 2*v**4.\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -94, -420, -1064, -2122, -3690, -5864, -8740?\nAnswer: -12414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/(n\/n**(-1\/6)))\/n)\/n)\/n*n)\/(n*n*n**1*n*n))**(-6\/7) assuming n is positive.\nAnswer: n**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 971, 1935, 2887, 3821, 4731?\n\"Answer: -a**3 + 971*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.057 - 0.143. Which is the third smallest value? (a) u (b) -5.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-44)\/55)\/(1\/440). Let h = s + 645. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-45)*((-4)\/18)\/((-8)\/30)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111110000111010 - -1010001?\nAnswer: -11111101111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*d**2 + 3)*(3*d**2 - d**2 + 0*d**2) + 126*d**4 + 32*d**2 - 246*d**4 + 121*d**4 in the form o*d**2 + w*d + k*d**4 + j + n*d**3 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006045999167 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 492799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 3:58 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(44)*-2)**2.\nAnswer: -16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21024833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1616\/(240\/(-30))*(-1)\/6)\/(2\/(-6)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 3*a**2 - 3*a - 4. Let q be j(-3). Let z(n) = -n. Let d(w) = -4*w. Let c(u) = q*z(u) - d(u). Let p(l) = 11*l**2. Give p(c(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21395789 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004355 to four dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -30*k + 1393. Let c(o) = 83*o - 4177. What is 4*c(j) + 11*q(j)?\nAnswer: 2*j - 1385","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515*h - 2*g = 1027*h - 515*h + 29, -5*g + 463 = 52*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 0.34. Let o = t - -0.14. Let m = 0.3 - o. What is the third smallest value in 0, m, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/90)\/(4\/6). Let v = 2\/5 - r. Let y be 1*(-1 + 4 + -3). Is v > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 3926718.\nAnswer: 3926718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*g - 68*g - 63*g**2 + 32*g - 439*g**2 to the form q*g**2 + y*g + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 681*-4.\nAnswer: -2724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -4, 1 in increasing order.\nAnswer: -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -27359*d. Let r(a) = 2370*a + 3. Calculate r(h(u)).\nAnswer: -64840830*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Suppose n*d + 5*d = -10. Let x = -0.1746 + 0.0746. Which is smaller: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 2304?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 61. Let n be ((-6)\/(-8))\/((-7)\/(-4)). Is o smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73490, -146973, -220456, -293939?\nAnswer: -367422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.063*-0.5\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-18) + 18\/81. Suppose -4*j + 12 = 2*z - 4*z, x = -2*z - 3*j - 47. Let q = -8 - z. Calculate the remainder when 29 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1232*q**2 - 119356*q + 69864585?\nAnswer: -2464*q - 119356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 212*n - 4369. What is r(30)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*n + c, 0*n - 3*c = -3*n. Let i(w) = -3*w**2 + 2*w**2 + 5*w**n. Calculate i(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1801 is divided by 274.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 + 163*y - 728. Determine c(-56).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48164845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36946347 or -36946342?\nAnswer: -36946347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13125606 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-441)\/2170)\/63)\/((-6)\/((-144)\/6))?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttx when three letters picked without replacement from {b: 3, t: 4, x: 2, j: 6}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2108*v + 190915 = -81017 for v.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 7*m + 1. Let h be x(7). Let n = -25 + 28. Let o = n - h. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21278 * 2.\nAnswer: -42556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1232 and 896.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) + 182\/49. Suppose s*p - 3*p = 2. Solve -p*a - 2*t = 14, 5*t = -0*t - 25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -500 - -504. Let g = 256 + -259. Which is the second smallest value? (a) 2 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2\/(o**(-1\/11)*o))\/(o*o**(-2\/3)*o**4))\/((o\/(o*(o**4*o)\/o*o))\/o**(-4)*o**2\/o*(o*o\/o**(-1\/5))\/o*o) assuming o is positive.\nAnswer: o**(-898\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let l be b(0). Sort 1\/2, 1\/3, 3\/5, l in decreasing order.\nAnswer: 3\/5, 1\/2, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*u + 3*x - 4*x, 16 = 4*u - 2*x. Let k(n) = -n**2 + 5*n + 6. Calculate k(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 881, 3537, 7963, 14159, 22125, 31861?\n\"Answer: 885*v**2 + v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 50. Suppose 0 = 2*p - r, 7*p - 4*r - w = 5*p. Let k = -1\/7 + 25\/28. What is the closest to 0 in p, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38 from -0.01135353054.\nAnswer: -38.01135353054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13148713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 68*x - 31. Determine n(-1).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -7. Let m be ((-2)\/a)\/((-4)\/(-10)). Let y = -3 + 4. Do y and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2393693147.\nAnswer: 29, 487, 169489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, -3, 647454, -1\/6.\nAnswer: -3, -2, -1\/6, 3, 5, 647454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 305 = -5*i, -6*i - 1137 = 3*n - 3*i - 1215 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.05, 2\/7, -1.103, -3\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*s - 2*s - 20 = 0, 0 = 5*d + 4*s - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 394 or 39890\/101?\nAnswer: 394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 12 + -12 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {c: 1, t: 4, q: 2}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d + 17. Let t be v(5). Let a = 50 + t. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*b + 5360 = -7*b + 67*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6030047, -6030045, -6030043, -6030041?\nAnswer: -6030039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 2:08 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3 + 4*(-5 + (2*sqrt(400) + sqrt(400))\/sqrt(8))))**2.\nAnswer: -99360*sqrt(2) + 278244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 53*q**3 + 3*q**2\/2 - 2111*q + 1917. What is the derivative of d(l) wrt l?\nAnswer: 318*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 2*o - 3. Let f(y) = -3 - 12*y + 4 + 13*y. Suppose -4*v - 2*z = -3*z + 9, 5 = 5*v + 2*z. Calculate v*s(d) - 2*f(d).\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 27*g**3 - 4*g**2 + 12*g - 1. Is w(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 13*s - 16. Let i be b(12). Sort 1, i, -1.\nAnswer: i, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3. Let f = h + 14. What is the greatest common factor of 60 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/371497 or 0?\nAnswer: -2\/371497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-4)*2\/4. Suppose 0 = -5*r + 2*n + 6, -q*n + 3 + 11 = 2*r. Suppose 2*c = 6*z - z - 315, -r*c + 10 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2421 by -8373.\nAnswer: 807\/2791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 27 = 5*b, 5*k - 3 = 4*b - 0*k. Suppose -b*o = -903 - 1779. What are the prime factors of o?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t - 59*t + 66 = 0. Let l = 71.4 + -71. What is the closest to -0.46 in t, 0.3, 0.5, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -17 (c) 0.1 (d) 0.4 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 187\/4. Suppose 43*d - 198 = -26. What is the third smallest value in d, -3, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 11*w**2 + 4*w + 11. What is t(-11)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 88\/(-20) + (-4)\/(-10). Let u(h) be the first derivative of -3*h**2\/2 + 1. List the prime factors of u(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:49 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 6*d + 9. Let f be v(7). Solve -f*s + 7*s - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 649 and 1859?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1012 - -1?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 - 4 = 0. Suppose l + 2*l = a. Suppose -28 = -3*w + w + n, -l*w = -4*n - 52. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**3 - 1195*s**2 + 7385*s + 8575 = 0.\nAnswer: -245, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1016042953?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 2358\/19?\nAnswer: 2358\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 146385603 - 937\nAnswer: 146384666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*c**2 + (-c - 2*c + 2*c)*(2*c - 3*c - c) + (3*c - 4*c + 0*c)*(-1 + 4*c + 1))*(-3 + 2*c**3 + 3).\nAnswer: 4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 28 - (-23 - -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 2}. What is prob of sequence soo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7935 is divided by 368.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*w + 0*w - w)*(4 - 1 - 2 + (-3 + 3 - 3)*(-2 - 3 + 3) - 2 + 1 + 3)*(-2 + 3 - 3).\nAnswer: 180*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218399 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69805 and 89240?\nAnswer: 54168680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21824*s + 21820*s - 112 = 0 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (-85)\/(-30))\/(65\/(-7410))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkb when three letters picked without replacement from kkkbkbkkkbbbknn.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 334 = g. Let v = -3174\/19 + g. Let x = 22\/57 + v. What is the common denominator of 8\/9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -9 - (16\/(-1))\/(-21 + 23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 156, 240, 346, 468, 600?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*k - 377*k = -24 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -320 - -345. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -15*g - 18. Let f be o(-11). Let v be (-6)\/8 + f\/228. Let h = -3 + 3.2. What is the second smallest value in v, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**4 + 5*t**3 - 71*t**2 - 14952.\nAnswer: 4*t**3 + 15*t**2 - 142*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82150 times 54.7?\nAnswer: 4493605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:43 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 84 = 202. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4695894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - m + 5*z + 30, 0 = -3*m + 2*z + 19. Suppose m*l - 1564 = 471. Let i = l - 2843\/7. What is the common denominator of 13\/10 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*t - 62 - 12, -170 = 5*f - t. Let a(w) = -w**3 - 2*w**2. Let p(b) = 6*b**3 + 11*b**2. Calculate f*a(i) - 6*p(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 + 5*l + 8*l**3 + 2100 + l**2 + 19*l**3 - 2109. What is the tens digit of n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106911 and 693.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -266*u**4 + 2*u**2 - 11457*u + 106843916?\nAnswer: -1064*u**3 + 4*u - 11457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2161090.42 to the nearest 1000.\nAnswer: 2161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-9)\/8)\/(6\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7375 * 3.292.\nAnswer: 15.59585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ross when four letters picked without replacement from {r: 1, s: 2, o: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -12. Let y = 0.02 + 0.115. Let t = y - -0.065. What is the nearest to v in 0.1, t, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207841 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 + 1 + 2*g - 506*g**2 + 3*g**4 + 507*g**2 - 4*g**3 to u + n*g**3 + y*g**4 + f*g + b*g**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 10155*q - 815994.\nAnswer: -(q + 81)*(q + 10074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 871 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -23) + 50 + -132 + 26?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2909617446.\nAnswer: 2, 3, 43, 227, 49681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -2 (c) -1\/5 (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -372*h**2 + 421*h**3 - 420*h**3 - 2 + 123*h**2 - h**4 as q*h**3 + w + u*h + o*h**4 + i*h**2 and give i.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 11) in base 8?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ellchlhenlcpcle. What is prob of sequence plhc?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*p = 236, 0 = -5*a - 17*p + 22*p + 180. Calculate the remainder when 274 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 2*l + 2)*(4 - 5 + 3) + (0 + l + 0)*(0 + 2 + 0).\nAnswer: -2*l - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-27) + 94\/18. Let r = -2 - -2. Suppose r = -z*n - 17 - 8. Sort -4, n, 5 in decreasing order.\nAnswer: 5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -51.8481, 0 in decreasing order.\nAnswer: 0, -51.8481, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232033?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 + 65*u + 340 = 0. What is u?\nAnswer: -4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**2\/6 + 1741212*w - 10447275\/2 = 0.\nAnswer: -10447275, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -8. What is the smallest value in -2\/3, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 5*h + 829955 - 829955.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 17*n**5\/60 - 29*n**4\/24 - 5*n**3 - 21. Let v(p) be the third derivative of h(p). What is the derivative of v(a) wrt a?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*1\/4 - -1. Let b = 11 - 12. Let k = -0.1 - -0.1. What is the third biggest value in k, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a + 1. Let b(f) = 21*f + 3. Determine -4*b(s) + 14*k(s).\nAnswer: 14*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17762*x + 17764*x - 18 = -2*r, 10*r = -x - 0*x + 126 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -18\/11, -10, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11040 and 87630.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/(16\/(-6))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 234 + 31. Let t = l + -265.3. What is the closest to 2\/7 in 0.8, t, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-21)*3\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6349 divided by 602?\nAnswer: 907\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 0.5, -2, 2\/13, 0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 4*g + 3*r, -3*g + 628*r - 626*r = 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - f**2 + f**2)*(4*f - 2*f - 5*f)*(-2 + 1 + 2).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70734324 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -26*p**2 - 53*p - 20. Determine y(-5).\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 459072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*o + 620 = 41*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.481 - -3.381. Let v = -3 + 2.95. Which is the smallest value? (a) p (b) 3\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.9 times -106063\nAnswer: 519708.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 10:29 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - 126*x - 1511. Is u(-83) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 32 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 18*a**2 - 39*a - 16. Let v be p(20). Let k be (-392)\/(-63) + v\/(-18). Solve -3*m = 4*q - 23, -k*m = -m + q - 27 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000708358 to 7 decimal places.\nAnswer: -0.0000708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 8*m**2 + m + 7. Let i be g(-7). Let k = 2002 + -1963. Let y = i - k. Calculate the remainder when 24 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, m: 4, a: 1, e: 2}. Give prob of picking 2 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:14 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16231088 and 17314?\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46622 - 115.6.\nAnswer: -46737.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**4\/4 + 1047*q**3 - 16719*q**2\/4 + 10443*q\/2 - 2088 = 0.\nAnswer: 1, 2, 1392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.88 + -17.88001851. Round i to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5)*m)\/m*m\/(m**(-3\/5)\/m*m))**(-31\/3)*(m\/m**1)\/(m\/(m\/(m**4\/m)))*(m\/m**(-1\/5))\/m**(2\/5) assuming m is positive.\nAnswer: m**(-343\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -522*u + 1752. Is o(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3*i = -15, 2*t - t - 5*i - 13 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13406671771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -695\/2 - -1467\/4. Calculate the common denominator of i and ((-1)\/12)\/(-1)*118.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 162504?\nAnswer: 162504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24705 - 24692. Suppose -q + 280 = 4*q. What is the remainder when q is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -34. Suppose j = 3*m - m + 58. Let a = -19 - m. Calculate the remainder when 59 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008433 to 7 decimal places.\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2503\/48574 or 0?\nAnswer: 2503\/48574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, 16, 101, 272, 559?\n\"Answer: 5*t**3 - 2*t**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, a: 1, f: 4, r: 2, k: 2, g: 4}. What is prob of picking 1 f, 1 a, and 1 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/595 (b) 0.3 (c) -1\/7 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9133627*h + 18267243*h - 9133675*h.\nAnswer: -59*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 0*g**3 - g**3)*(-22 + 22 - 4*g**2).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6.39*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-27) + 0)*-3. Let q = 0.07 + -0.2. Let w = q - 4.87. What is the third smallest value in -4, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**2 - d**2 - 2*d**2 + (-d + 6*d - 3*d)*(-d + 0*d - d + (-4 + 5 - 3)*(d + 2*d - d) - 2*d - d + 0*d + 14*d - 41*d - 14*d).\nAnswer: -99*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 - 90748248*q\/5 - 1029405564383688\/5.\nAnswer: -2*(q + 22687062)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 245032131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 41\/(-2)*2. Let w be p\/10 + (-5)\/(-25). Suppose 5*g - 4*g - 2 = -x, 2*x = w*g + 4. Solve g = -3*m + m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112.8244 - -113.1. Let u = v - 0.28. What is u rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**3 - 69*k**2 + 63*k + 4. Give i(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 8:26 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*l + 26, 3*l + 3 - 12 = 0. Let g(w) = -w - 14 + 4 + 3*w. What is the units digit of g(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1.9. Let w = -1.4 + i. Let k = -206 + 211. What is the smallest value in w, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128950873.\nAnswer: 128950873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 12*g - 4. Let h be t(7). Let r = h - -111. Calculate the highest common divisor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 283222?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/3)\/(30\/(-135)). Let o be 0 + f - (-2)\/(-2). Find n, given that -1\/3 - 1\/3*n**o + 2\/3*n = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k + 0 - 5 - 11*k. Let l be t(-5). Let z be -44998 - 5\/(l\/4). What is z rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.7 and -0.01512.\nAnswer: -0.328104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-57)\/(-12) + 3\/12. Suppose -2*m - 19 = 4*n - 185, 0 = 3*n - t*m - 92. Let q be 2 + 53 + -8 - -5. Calculate the highest common factor of q and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 142.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from {o: 9, n: 11}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**3\/9 + 103054*a**2 - 5973898680*a + 8960616150 = 0.\nAnswer: 3\/2, 115935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3201334413 to the power of 1\/2, to the nearest integer?\nAnswer: 56580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20619\/14 - -1472. Let j be 59961\/54 + 1\/1. Let c = -1115 + j. What is the common denominator of r and c?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 12*z + 171. Let i = 0.1 - -1.9. Which is the third smallest value? (a) i (b) 4 (c) 0 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1172 = 4*r - 1140. Let d(g) = g**3 + g**2 - 13*g - 21. Let s(u) = -u**3 + u**2 + 14*u + 22. Let f(o) = 4*d(o) + 3*s(o). Give f(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/3 + 134*k\/3 - 133\/3 = 0.\nAnswer: 1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*v**5 - 8\/9*v**4 + 0*v + 0*v**2 + 2\/9*v**3 + 0 = 0. Calculate v.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d. Let a be l(-1). Let x = 19 + -11. What is the units digit of (-4)\/(x\/a)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10488360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 6*a**2 - 3*a + 7. Suppose 2*z + 2 = -3*p - p, 5*z - 10 = -5*p. Give l(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13703 = 543*w - 40853 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a centimeter in millimeters?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**3 - 3*h**2 - 4*h + 3. Suppose -18 = 3*f - 24. Let x(b) = -f*b - 5*b**3 + 0*b + 7*b - b - 4 + 4*b**2. What is 4*o(m) + 3*x(m)?\nAnswer: m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + -9380320?\nAnswer: -9380332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710196 to the power of 1\/2, to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b8590 + 0?\nAnswer: -1b8590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156\/217 - 9\/31. Let h = -20.9 + 21. Which is the second biggest value? (a) h (b) 6 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 881, 883, 895, 923, 973?\n\"Answer: g**3 - g**2 - 2*g + 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from lvlvlllll.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -31*k - 115. What is the units digit of a(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2145828 (base 11) in base 9?\nAnswer: -7076002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3010103 - -11?\nAnswer: 3010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 1 (c) 0 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 smaller than 212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 47*l**2 - l + 689. Let i be x(52). Is i at most 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 37*p**2 + 123*p - 89. Determine n(40).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 3*s**2 + 6*s + 3. Let o = 72 - 68. Let z(m) = -5*m**2 - m + 2. Let b be z(o). Let i = b + 78. Give q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + 5 - 2\/(-4). Let j = 2 - 6. Which is the second biggest value? (a) 2\/3 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*d. Suppose d = -2*u - 4 - 0, 38 = 3*y + 2*u. Suppose -s - y = -x - 4*s, 5*x - 4*s = 13. Solve x*a - 2 = -v - 2*v, 2*a = 2*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79512 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -137*x + 1. Let v be m(-1). Suppose 134*c = v*c - 68. Calculate the remainder when 166 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1170*z + 56765 = 818*z + 18045 for z.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -21) + -35 - -26?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + 3 + -6 - (214 - 224)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4313216 is divided by 691.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6)**(1\/3)\/(p**(-13)*p*(p*p*p**(-3\/11)*p)\/p) assuming p is positive.\nAnswer: p**(135\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 19, -0.23, -1\/865?\nAnswer: -1\/865","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 3)*(-6 - -2). Find f such that -q - 9*f + 20*f**2 + 3*f - 21*f**2 = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 9)*(-2*v - 2*v + 2*v)*(-2 - 3 + 3)*((-2 + 3 - 3)*(-4 - 2 + 4) - 6 + 4 + 1 - 2 + 2 - 1 + (0 - 8 - 13)*(-1 + 1 - 3)).\nAnswer: 2340*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -225*y - 66. Let z(b) = -b. What is z(k(r))?\nAnswer: 225*r + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8550 and 136800.\nAnswer: 136800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917745.\nAnswer: 3, 5, 17, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -702228\nAnswer: -1\/234076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -530, -1062, -1594, -2126, -2658?\nAnswer: -3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32660337343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -4\/7, -0.1, -5684270 in ascending order.\nAnswer: -5684270, -4\/7, -1\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - 5*d**2 - d**2)*(3*d - 138*d - 257*d).\nAnswer: 2352*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpzp when four letters picked without replacement from opuzezgp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmfgttnrggtngtmtnmgn. What is prob of picking 2 m and 1 g?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2050 = -55*f + 105*f for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2. Let q(n) = 84661*n. Determine q(i(a)).\nAnswer: 507966*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23364181.\nAnswer: 23364181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**3. Let c(q) = -2*q**3. Let a = -479 + 474. Determine a*c(j) + 3*u(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 971300, 17, 3 in decreasing order.\nAnswer: 971300, 17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 25 - 14*o)*(3 + 0 - 2) + (-2*o + 0*o + 3*o)*(-2 - 1 + 0) + 2*o + 7*o - o as q*o + k and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1232593, 1232591, 1232589, 1232587, 1232585?\n\"Answer: -2*r + 1232595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 182299209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-26)\/(-10))\/(268\/670). Let u be (1 + 0)*(-8)\/10. Let z = -10\/23 - -96\/115. Which is the smallest value? (a) p (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 37*r**6\/60 - 109*r**5\/60 - 13*r**2. What is the third derivative of g(j) wrt j?\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9603 is divided by 738.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20880 by 5.\nAnswer: 4176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 42 = -27 + 21 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -77. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*v + 650 + 212 = 0, 0 = -4*v. Let c = 301 + -90. Suppose 0 = -2*z - g - 4*g + c, j = 4*z + g. Is z a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**3 - 618*d**2 - 13968*d - 82080 = 0. Calculate d.\nAnswer: -285, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 20769567 = -9*m - 12*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 8, 1800, -2 in descending order.\nAnswer: 1800, 8, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 265 - 315*y**2 + 320*y**2 - 35 + (5 - y - 5)*(0*y - 4*y + 2*y) + (2*y - 3*y + 2*y)*(y + 1 - 1).\nAnswer: 8*y**2 + 230","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2203791 and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 11*c - 12. Let i = 161 + -151. Determine x(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*v + 8*v - 3 + 12 - 67*v.\nAnswer: 3*v + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 411\/35 - 85\/7. What is the biggest value in o, 3, -1\/4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (-10 - -26) + -19 + 8 + -6.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 75 + 9 = 14*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 150 + 73?\nAnswer: 1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 987667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1931833?\nAnswer: 1931833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25156166 and 406.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2902843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 539\/23 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6 - (-23 - -20))*8\/(-208)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/700 and 103\/24?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 110*w + 7. What is the hundreds digit of t(-38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 485*i + 20824. Give w(-43).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23839?\nAnswer: 31, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2)*9\/(90\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 6)*(1912 + 1066*h - 1912) in the form s + w*h and give w.\nAnswer: -7462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -492.7 + 493. What is the nearest to -8\/69 in -2\/21, 2, t?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154 + 262. Suppose 2*x - l = -2*x. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*t - 270 = -289*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 26*c - 64. Calculate r(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-8))\/((-3)\/(-12)). Let r = q + 10. Suppose -t = r*t - 48. Solve -8*c = -5*c - t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (60\/9 + -1)\/(2\/(-36)). Let a = b - -42. Calculate the remainder when 67 is divided by (a - 8)*2*2\/(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24112434 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/5)*v)**(-26))**(2\/13)*((v*v**4)\/v*v*v\/v**(-1\/4))\/(v**6\/((v\/v**(-2\/19)*v*v)\/v)) assuming v is positive.\nAnswer: v**(-1537\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from idyyosridyoyy?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**3)\/(a*a**5\/a))\/(a**3*(a\/(a\/(a*a**(-3))))\/a)*(a**0)**(5\/3)*(a**(2\/7)*a)\/a**1 assuming a is positive.\nAnswer: a**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/11)*a)**40)**(-8) assuming a is positive.\nAnswer: a**(-4160\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47318?\nAnswer: 2, 59, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t + 5*j - 555 = -2398, -3*t + 163 = -5*j. Calculate the greatest common divisor of 560 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 1\/10*l**5 + 57\/10*l**3 + 3*l + 0 + 73\/10*l**2 + 3\/2*l**4 = 0.\nAnswer: -10, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-72)*((11 - 12) + (-34)\/(-30)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = s - 27 + 107, 2*u = 6. Let d = -64 - s. Solve 2 - d*c**2 + 3*c**2 + 2 - 3*c**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 21 - 4 - (-7 - -3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5825000*z. Let t be f(4). What is t rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 192.87 to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-3)*3\/2. Suppose -4*n - 20 = -4*f - 0*f, -q*n - 12 = -4*f. Which is the smallest value? (a) f (b) -0.2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 260\/(28\/26 - 1). Suppose 2*c - 2234 - h = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 10:02 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 777 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -2*n**7\/105 + n**6\/15 - n**4\/3 + 2*n**3\/3 + 6*n**2 - 4*n. Factor v(g).\nAnswer: -4*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 - -89 - (28 + 1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 10. Let c = 0 + -0.1. Let b = -915089 - -915087. What is the nearest to c in 3\/4, d, b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -3\/127, -1, -883\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-18)\/(-8))\/(12\/96) and 214.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9871304146.997191 + 9871310633. Let q = s - 6486. What is q rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2. Let h be 11 + (1 - (4 + -4)). Let t(g) = -5*g**2 + h*g**2 - 5*g**2 - 6*g**2. Calculate x(t(y)).\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6005*s + 5786*s - 5913 = 0 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m + 628 = 0. Let s = -169 + m. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67424 and 2938432.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*l - 4*z - 7 = 0, 0 = -2*l - 3*z - 30. Let m(k) = k**2 - 3. Is 13 a factor of m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 8:10 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -19, -14, 1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/4*(-40)\/(-30). Suppose 148 = 3*m + 4*l, -5*l = h*m - 166 + 23. Suppose 0 = 4*j - m - 212. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -17, -18, -19?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 219559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arta when four letters picked without replacement from {r: 6, a: 4, t: 4}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:54 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6458 - 6462. Which is the closest to 6? (a) -3\/8 (b) 2\/311 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*16\/(-480))\/((-8)\/(-10))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(528) + sqrt(528)*-5) + sqrt(528))\/((sqrt(11) + sqrt(99)\/sqrt(9))*6*4))**2.\nAnswer: 147\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164114513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 4 (c) 2\/19 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 17816290\nAnswer: 7126516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 3*d - 2349, 4*d + 2343 = -a + 4*a. Calculate the remainder when a is divided by 131.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1477190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1382 (b) 0 (c) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 2*i. Let n be o(-6). Suppose 0 = -s + 5*s, -s + n = -3*x. Let q = 82 - x. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8758 and 5134.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13903446 divided by 6?\nAnswer: -2317241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.949 - -48. Let b = -0.05100016 + z. What is b rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1870171.05 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + -9 - -9) + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-10 - 16)*16\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 10:45 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01 - -0.12. Let c = 5.11 - b. Let z be 28\/35 - (-198)\/(-285). What is the biggest value in c, -0.5, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 1 - 9 - 3 - 18531*w.\nAnswer: 3*w**2 - 18531*w - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfft when four letters picked without replacement from {t: 1, j: 2, p: 1, c: 2, f: 2, d: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 15*c - 39. Suppose 2*j - r = -18, j - 2*j - 5*r + 13 = 0. Let l be d(j). Suppose 6*x - l - 1 = 0. Solve -w = 5*f, -w - 22 = -2*f + x*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122 + -4?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58675 = -72*o + 295123. Calculate the greatest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.55 - 11.55. What is the biggest value in -6, -2\/13, u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, u: 5, n: 3, a: 2, v: 2}. What is prob of picking 2 v and 2 u?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 105 = 27*n. Let q(v) = 3*v - 14. Let g(s) = s - 5. Calculate n*q(j) + 11*g(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*l + 48*l = 2789 - 804 + 6361 for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23982817 to the nearest integer?\nAnswer: 4897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a + 4*a)*((-3*a - 3*a + 7*a)*(a**2 - 3 + 3) - 11*a**3 - 7*a**3 + 20*a**3).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-136 + 4)\/(-3). Let s = r - -48. Solve a = -a + s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3807.6 plus -5?\nAnswer: 3802.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 3*i)*(-6*i**2 + 0*i + 0*i) + (0 + 2*i**3 + 0)*(3 + 1 - 5).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 414629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1769.3 to the nearest 10.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1307756 is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(153) - (sqrt(153) - (sqrt(153) + sqrt(153)*2)*5))\/(sqrt(45)\/(-3*sqrt(5)*-5)) + -4)**2*1.\nAnswer: -1440*sqrt(17) + 550816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55194 + 0.17?\nAnswer: 0.72194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -35633.966 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 680 and 848?\nAnswer: 72080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 168029.\nAnswer: 2\/168029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9428?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33298 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 211816993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 6:47 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 40*u - 20 - u**2 - 24 - 21. What are the prime factors of i(10)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2340 and 893620?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 31*s**2 - 10*s + 2. Suppose 6*j - 633 + 555 = 0. What are the prime factors of d(j)?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2557072 divided by -119.\nAnswer: -21488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 8 + 4. Let r(w) = 3*w + 9. Let z be r(q). Sort -3, 10, 3\/7, z in ascending order.\nAnswer: -3, 3\/7, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 258 + -258.2. What is the nearest to -0.2 in 1\/4, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (264\/(-70)*((-1000)\/(-15))\/(-10))\/(152\/(-532))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -130 + 1\/2*r**2 + 0*r. Let z(o) be the first derivative of -9*o**3 + 1. Determine z(v(c)).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -2) + -2 - -158. Suppose -5*t + 461 = -q. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 102133131311?\nAnswer: -102133131303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -22925 - 54897 - 37344 + 33566 = -1275*y for y.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.37, 122\/5, -3.51?\nAnswer: 122\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97.043 - -0.043. Let m = n + 97.59. What is m rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79394419 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q - 2\/3*q**3 + 0 + 0*q**4 - 4\/9*q**2 + 2\/9*q**5.\nAnswer: 2*q**2*(q - 2)*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - z - 11 = -u, 5*u = -3*z + 23. Let o = -2 + u. Which is the closest to -1\/4? (a) 1 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -912411, -1824814, -2737217?\n\"Answer: -912403*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 36 = 18*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*s + 3584 - 304 = 0, 0 = 2*s + 4. Is -1637 not equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -2. Let h = -3 - c. Which is smaller: 1\/2 or h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17777498?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/5 of a century?\nAnswer: 13680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12656 by -12656.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 21. Let s = -13 - y. Let t be (3 - -2) + s*2. Solve -2*h - t = m, -35 = -5*m + 5*h + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210405182.\nAnswer: 2, 13, 47, 172181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*c + 1468 = -5*c, -2*p = -4*c - 734. Let s = -271 + p. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*70\/(9240\/3267)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*n**5*t*z + n**3*t**2*z - 3*n**2*t*z - 5*n*t**2 - 3*n*t wrt n?\nAnswer: 1260*n**2*t*z + 6*t**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 + 3*f**2 - 7*f + 8. Is p(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1108 divided by 277.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 33*u + 18. What is the lowest common multiple of p(33) and 669?\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28185+6\nAnswer: 6.28185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 995276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40103*b + 40173*b = -2590 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-6)*(-28)\/(-42)*1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 8*r + 1. Let v be w(8). Let x be (v\/30)\/(1\/4). Which is the second biggest value? (a) x (b) -1\/10 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**2 + 4*v - 3. Let h(c) = -c**2. Let i(j) = -6*h(j) - s(j). Let t be i(3). Suppose t*p = 2*p. Solve -5*u + 2*u + 15 = p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*u + 4*u - 795 = -780 - 11719 for u.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.920456 + -0.166265?\nAnswer: 10.754191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728137711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, p: 7}. What is prob of sequence zpz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 0*q + 0*q + (-2*q**2 + 1 - 1)*(-319 + 319 + 52*q) - 2*q**3 - 2*q**3 + 2*q**3 to z + o*q**2 + n*q + m*q**3 and give m.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**3 + 208*z**2 - 17*z - 148. Give u(23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -2*n**3\/3 + n**2\/2 - 4*n. Let j = 3 - 3. Suppose j*t + 4 = -2*t. Determine u(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at least -140976\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 1:20 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986 times -0.1?\nAnswer: -198.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + b**2 - b + 4. Let q(r) = -r**3 - r**2 + r. Let t(s) = -a(s) - 2*q(s). What is t(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*g**3*o**2*q**3 - 4*a*o*q**3 - 3*g**3 - 11*g**2*o*q**3 + 3*g*o**2 with respect to a.\nAnswer: -g**3*o**2*q**3 - 4*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 greater than or equal to -4.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17652 is divided by 3811.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j**3 + 23*j**2 - 23*j**2.\nAnswer: 23*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkyktkvkkkykkskkssr. Give prob of picking 1 r and 2 k.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -227 and 75.\nAnswer: -17025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 278463894 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - 0. Let v = -33024 + 33025.9999. Let o = v - -0.0001. Which is the third smallest value? (a) 5 (b) o (c) i (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2292948 divided by -168.\nAnswer: -27297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + -11900?\nAnswer: -11874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 11:58 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 230 and 103.\nAnswer: 23690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 83 = -18*r - 15. Which is the nearest to r? (a) -22\/9 (b) -1 (c) -1\/6 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -40, -3*t + 12 + 0 = -4*z. Solve 4*k - 3*h - 58 = -46, -z*k + 3*h = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 254 and 695071.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*f - 1554832 = 3969081, 4*w + f = 22095557. Suppose -7*s + w = -12326112. Round s to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = w + 4. Let q be ((-2)\/w)\/(6\/21). Let n(y) = -y**3 - 5*y**2 + 6*y - 9. Is n(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2501184943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*40\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16234 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*a + 10, 9 - 29 = -4*v - 3*a. Let j(h) = 9 - 14*h**2 + 16*h**v + 14*h + h. Is j(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65a605 (base 12) to base 15\nAnswer: -21d6eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 130029.31 times 0.8?\nAnswer: 104023.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1304*t - 1335*t + 428 = -316 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -127? (a) 4 (b) 0.3 (c) 4\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3100824 - -32.9.\nAnswer: 3100856.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2942222?\nAnswer: 2, 251, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.12 + -13. Let y = -0.02 + l. Which is the third biggest value? (a) -1\/2 (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 6*r + 0*r)*(2 + 4 - 1)*(r + 0*r + 0*r).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13864740 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 9. Let x = z - 4. Let p = -1 + 2. Which is smaller: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 385\/4 + -96. Suppose -4*w + 8*w + 4400 = 0. Let o be 4 + (w\/(-24))\/(-11). Which is the nearest to m? (a) -3 (b) o (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/(-2)*(-3)\/(-17). Is 1 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a factor of 3847868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (0 + (38 + -33 - (-1 + 5))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 + 198*d - 531. Give m(-43).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7856*h - 733. Is l(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1406758 and -0.098?\nAnswer: 137862.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 4*m = 240. Let c = -18 - m. What is the highest common divisor of c and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -323, 1, -0.24023 in decreasing order.\nAnswer: 2, 1, -0.24023, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 = 3*a. Let q be 0 - -2 - a - 19. List the prime factors of (-2)\/6*q\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -140*k - 119. Let z(y) = -40*y - 40*y + 102*y + 2 + 4 - 15*y. Calculate 6*w(h) + 119*z(h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 13. Let v(s) be the first derivative of s**2\/2 + 51*s - 6. Let k(d) = -9*b(d) + 2*v(d). Calculate the remainder when 42 is divided by k(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2193, -4233, -6075, -7623, -8781, -9453, -9543, -8955?\nAnswer: -7593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1640 divide 2112438080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i**3 - 12*i**3 + 19*i**3)*(4 + 0 + 0) to q*i**3 + x*i**2 + s*i + w and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -90, -83, -42, 45, 190, 405?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 526 + 5*b**2 - 532 - b + 2*b**2 - 2*b**2. Determine i(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, z: 8, b: 1}. Give prob of sequence zb.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10907068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + 9. Let k = -27 + 59. Let n = k + -16. Solve 5*q - 2*q = -3*f - w, -n = 4*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 31*d**2 - 111*d - 5242. Calculate s(-29).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/((b\/b**(3\/10))\/b))))**(1\/3)*b*b\/(b*b*b\/b**(-23))*b*b*b**(-16))**(-49) assuming b is positive.\nAnswer: b**(55223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 729283*f**3 - 729282*f**3 - f + 5*f - 2*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p - 26*p - 15527 + 15527 - 13*p - 21*p + 49*p.\nAnswer: -29*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 7, 32, 99, 226, 431?\n\"Answer: 3*t**3 - 6*t**2 - 2*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**6\/165 - 3*q**5\/55 - 2*q. Factor i(g).\nAnswer: -2*g**3*(g + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 8.8. Let n = 1376\/2401 + -4\/2401. Let f = -457\/3 + 154. Which is the second biggest value? (a) f (b) o (c) n (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68 - 1\/3*3. Suppose -45*r + 31541 + 4907 = -11*r. What is the greatest common divisor of q and r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2147250 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/(-35))\/((-80)\/(-75)). Let z = -14 + 13.7. Suppose 0 = 2*x - 4 - 0. What is the third smallest value in z, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619869 is divided by 125?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(108)*-1)\/(sqrt(1200) + sqrt(1200) + (-2*sqrt(1200) - sqrt(1200))))\/(sqrt(363)*-2*5 + 1*sqrt(363)*1).\nAnswer: sqrt(3)\/495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let d(s) = -476*s - 4*s**2 + 476*s. What is n(d(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-720)*306)\/(18\/(-8))*-6.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 2971, 9700, 22729, 44158, 76087?\nAnswer: 120616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1041 (b) -1 (c) -0.11 (d) -120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -15*h**3 - 4*h**2 - 2*h - 4. Suppose 13 = f + 16. Is q(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/8, 0.4, 5, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(245) + 0 + sqrt(245) + -5 + 3)*-4 - ((3 + (sqrt(245) + 0 + -1*sqrt(245) + sqrt(245))*2)*-3)**2.\nAnswer: -8913 - 812*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 10*h = -70. Calculate the highest common factor of h and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 8*p**2 - 11*p - 10. Give l(10).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*o**5 + 16*o - 4*o**5 - 8*o**5 - 10*o**5 wrt o.\nAnswer: -180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - -56 - (-1848 - -1862).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5647*y**3 + y**2 - 2*y + 3. Let k be n(1). Let r = -2302 - k. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69680 = -75*r + 70130 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44968220 rounded to the nearest 10000?\nAnswer: 44970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 0.125.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 64\/(-24)*(-6)\/4. Suppose 0 = -h*i + 4*b - 4 + 28, -2*i - 2*b - 4 = 0. Suppose i*v - 116 = -38. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6984939 to the nearest integer?\nAnswer: 2643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.4 (b) 1\/2 (c) 3\/5 (d) 2075 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40097.301 rounded to the nearest ten?\nAnswer: 40100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + 2 + 5*(sqrt(17) + -1).\nAnswer: -3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/1033 (b) 584 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/268191 and -10\/36157023.\nAnswer: 397727253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 322 = 8*b. What are the prime factors of b?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**3 - 310*g**2 + 2*g - 136. Calculate u(62).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (0\/3 - (1 - -4)). Solve p + 5 + 11 = 4*m, -12 = -3*m - o*p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 11. Let o(s) = -61686*s**2 - 61687*s**2 + 123379*s**2. Determine l(o(g)).\nAnswer: 18*g**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8144 - 8018. What is the highest common divisor of m and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*b - 15. What are the prime factors of (-2 - 1) + (-145)\/b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -1814, -3?\nAnswer: -1814","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 15*j**2 + 16. Let v = -395 + 533. What is the remainder when v is divided by h(15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 680831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d = 3699627. Suppose 3*u + 2*f = -2*u + d, u = 4*f + 246633. Suppose -3*i - 1296641 = -u. What is i rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250 and 164125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n = 107439 + 22249. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11\/10 + -33\/5. Let m = -1\/3 - c. What is the common denominator of m and -17\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 - 0.6. Let v = f - -0.1. Let b = -1.10013 + v. Round b to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56177720 to the nearest integer?\nAnswer: 7495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*z + 24 = 0, 27*o + 2*z = 23*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*w**5\/3 + 32816*w**4\/3 + 1480100*w**3\/3 + 6172752*w**2 + 17393472*w - 70698240 = 0 for w.\nAnswer: -17, -12, 15\/7, 1444\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2623*p + 24 = -2625*p + 6 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 49. Differentiate -9*f - d*f - 3*f - 1 wrt f.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -24. Put c, 1, -1 in decreasing order.\nAnswer: 1, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssssssddsd. Give prob of sequence dd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -205, -839, -1901, -3397, -5333, -7715, -10549, -13841?\n\"Answer: -p**3 - 208*p**2 - 3*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -21*v**3 - 3*v**2 - 422*v. Let y(o) = 25*o**3 + 4*o**2 + 421*o. Give 6*u(n) + 5*y(n).\nAnswer: -n**3 + 2*n**2 - 427*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is aa - 32?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191722062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w = 5*z - 21*w - 12, -z - 4 = 2*w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2112 is divided by 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-2))\/(12\/(-3)*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42547271 (base 8) to base 14\nAnswer: 12cb29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13.1 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.8515.\nAnswer: -3.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 2*y + 4, 2*w + 20*y = 18*y - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 121802?\nAnswer: 243604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 x, and 1 b when three letters picked without replacement from {x: 2, q: 1, n: 1, t: 1, b: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/8 and 14\/5036359?\nAnswer: 40290872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1042114 + 0?\nAnswer: -1042114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -344 + 362. Solve 22 = 2*o + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 2*m + 6. Let s be o(-8). Let w = s + -217\/4. Is w at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*g = 126*g - 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/4 (b) 3\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*u*v - 29543923*u + 176379456*v - 1 wrt u.\nAnswer: 3*v - 29543923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 718651612 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 58 = 74, -53*z + 4*k + 143 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -189, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2170, 2157, 2140, 2119, 2094?\n\"Answer: -2*i**2 - 7*i + 2179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 137*c - 158. Let k(x) = -2*x. What is k(m(z))?\nAnswer: -4*z**2 + 274*z + 316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**12\/c**(3\/14))**(-49) assuming c is positive.\nAnswer: c**(-1155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 v when four letters picked without replacement from {v: 3, c: 9}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -35330200?\nAnswer: -35330188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-12)*(-2)\/(-5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/22306 and -127\/989292.\nAnswer: 580714404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -26*r + 6. Let f(y) = 5*y - 1. Let z = -35 - -19. Let m(a) = 2*a**2 + 42*a - 3. Let i be 4\/30 + 1268\/(-60). Let u be m(i). Give u*b(s) + z*f(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415477881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -74*t**3 + t**2 - 120*t + 2. Let m(n) = -n**3 - n**2 - 2*n - 1. Let d(w) = 2*m(w) + x(w). Find the second derivative of d(v) wrt v.\nAnswer: -456*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*j - 455418, -j = 48*u - 51*u - 227731. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylllllllllylyl. Give prob of sequence yll.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1331)*-2 - (sqrt(1331) - -2*sqrt(1331)*5))**2 + -2 + -1.\nAnswer: 65216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79433023 a multiple of 3232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**5\/60 - 7*i**4\/6 + i**3 - 88*i**2. Let s be 3*(0 + -1) - 14. Does 17 divide m(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44809167 is divided by 814712.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -13303?\nAnswer: 13255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4901 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (9 - -5) + -1*1 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 637 divide 2083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -35.5. Let x = -8 - f. What is the second biggest value in x, 0.1, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2 + 6572972*v + 6572971 = 0. Calculate v.\nAnswer: -6572971, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301.531739 rounded to one decimal place?\nAnswer: 1301.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -821435.\nAnswer: -821435.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/13 - 51516*h\/13 - 206096\/13 = 0. What is h?\nAnswer: -4, 25762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634160352 a multiple of 271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -3616.906?\nAnswer: 1808.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1036, -4649, -10824, -19567, -30884, -44781, -61264?\nAnswer: -80339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 23150?\nAnswer: 23150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37536363 is divided by 5313?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.69*-46037\nAnswer: 123839.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 9, v: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4 - 25\/(-10))\/(6\/(-488))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 522*r - 23*r + 1.\nAnswer: -545*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 3 + 4\/2. Suppose o = -r + 7 + 8. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 1. Let j = -19 - -24. Suppose j*v - 15 = 0, -2*v - 51 - 3 = -3*q. What is the least common multiple of h(1) and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5681554?\nAnswer: 2, 2840777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**10\/(h**(1\/4))**36 assuming h is positive.\nAnswer: h**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/2))**(-21)*(((p*p**8\/p)\/p)\/p)\/(p\/p**2) assuming p is positive.\nAnswer: p**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*114\/(-20)*(-30)\/(-12). Let u = -53 + b. Solve -5*m = -u*p - 0 + 13, -3*p = -m - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -853*r**4\/6 + 47*r**3\/6 - 790*r. What is the second derivative of v(m) wrt m?\nAnswer: -3412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 1.48 (b) -5 (c) -9 (d) 0.3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 6:59 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2210.3307 - -2205. What is j rounded to 1 decimal place?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**4\/4 + c**3 - 2*c**2 - 4*c + 9. Give f(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1273*h**4 + 872 with respect to h.\nAnswer: -5092*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(462\/(-12))*(-21)\/3*(-3)\/51.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149406976?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*m - 2*m + 2*o, 0 = 2*o - 10. Let l be (((-90)\/(-8))\/(-5))\/(-3 - m). Which is the fourth biggest value? (a) l (b) -1 (c) -1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -9.5. Let x be (-6)\/(-9) - 1\/6. Put x, 0.1, w in increasing order.\nAnswer: w, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -50, -1\/2, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 578925 and 351090?\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 113681432 to the power of 1\/3, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - 5*t + 3*t)*(0 + 4 - 3)*(2*t + 1 - 1)*(6 - 4 + 3) as d*t**2 + m*t + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173 - 166. Calculate the greatest common factor of 448 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p + 77. Let m be n(7). Let c(j) be the first derivative of -1\/9*j**6 + m*j + 8\/15*j**5 + 8\/9*j**3 - 1\/3*j**2 - j**4 + 13. What is r in c(r) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2097 and 194949.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/576 and -143\/37296.\nAnswer: 149184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -31410368\nAnswer: -62820736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375919545?\nAnswer: 3, 5, 43, 582821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 113475821 to the power of 1\/3, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/47 less than 0.129548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 376354 - 249358. Let p = -74996 + b. What is p rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 12:59 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -3 + 1 - (-25 + 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28620a (base 16) in base 8?\nAnswer: -12061012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 15*t - 1. Suppose 200 = 277*b - 302*b. Determine z(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -12. Let b = -5 + z. Let m(x) = -15*x - 3. Let o be m(-3). Calculate the greatest common divisor of o and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110819258063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 238506 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5537274245150 and -4?\nAnswer: 5537274245154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 965342596 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/15))**33\/(z**3*z)**(3\/8) assuming z is positive.\nAnswer: z**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 2*g**3 - g**3)*(8 - 18 + 1)*(-4*g + 2*g + 0*g).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 237\/395 + (2 - 2 - 0)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 6*m**2 + 1. Let k be v(-6). Let t be -11 - -10 - (0 - (2 + k)). What is n in 9\/4*n - 3\/2 - 3\/4*n**t = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 47432.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(384\/2))\/(9\/(-96))*(-105)\/12\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/62)\/((-258)\/31992).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25273*g - 3484*g + 381892 - 1131500 = 2154849 for g.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 823734.21 rounded to the nearest one thousand?\nAnswer: 824000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 o when four letters picked without replacement from {j: 3, a: 13, o: 3, p: 1}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + (1 + sqrt(1152))**2 + (-1*(-2*sqrt(1152) + sqrt(1152)))**2 + 5 + 4*-2*sqrt(1152))*-2.\nAnswer: -27756 + 1728*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2.3, -4\/5, 0.139, -1, 4, -5, -0.501?\nAnswer: -0.501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.31 + -13.45. Suppose 3*j = -8 - 13. Let x(o) = -o**3 - 7*o**2 + o + 8. Let p be x(j). Is p smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 33?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*h = 77*h + 1196. Calculate the remainder when h is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (99*(-15)\/(-330))\/((-24)\/(-352))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21299807897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1233, -342, 1 in increasing order.\nAnswer: -1233, -342, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23096320 and 122144?\nAnswer: 254059520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10872278.\nAnswer: 2, 5436139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -25, -83, -197, -385, -665, -1055, -1573?\nAnswer: -2237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 161?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 24*h + 21. Let m be v(-24). Solve 4*g + m - 37 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -104 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 11*s**2 - 12*s + 19. Let k be p(10). Let w be 5*1*(-1 - 0). Put w, k, -2 in descending order.\nAnswer: k, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 1, -60, 4, 3, -31.\nAnswer: -60, -31, -3, 1, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 151645\nAnswer: 1\/151645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 218 = -8. Suppose 3*v - h - 55 = -0, -2*h = 3*v - n. Solve -k + v = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*m + 299 = -254 + 65 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19039 is divided by 280.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -246 divided by -82\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16725617 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -23*j + 7*j - j**2 + 8*j + 1 + 9*j. Let t(k) = -8*k + 6. Let n be t(5). Let r = 33 + n. Let b(v) = 2*v**2 - v - 1. What is r*i(x) - b(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(17) - (4 + sqrt(68)\/sqrt(4)) - (sqrt(17) + 0 + 3)**2).\nAnswer: 36*sqrt(17) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -397704.\nAnswer: -1\/33142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2031, -2034, -2037, -2040, -2043?\nAnswer: -2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07149616 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -140. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, 0.06, -67, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 150429, 150449, 150469, 150489, 150509?\n\"Answer: 20*t + 150409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in -2\/19, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u = 20*u. Suppose u = -11*d - 10 - 1. Let t be (1 - 53)\/(-4)*(-9)\/d. Calculate the greatest common divisor of 78 and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*g**3*q**2 - 35*g**3*q + g*q + 10*q**2 wrt q?\nAnswer: -192*g**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.14 (b) -0.02073 (c) -1\/11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, w: 6, k: 2}. Give prob of sequence kwkw.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 472917 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/12 - (-2622)\/552. Solve -1837*v = -1838*v - m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -13\/24812?\nAnswer: -13\/24812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, z: 1, y: 4, k: 2}. Give prob of picking 1 x, 1 y, and 1 k.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 0*x - 2*l - 19, -11 = -x + 3*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 8*v + 5. Is i(7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447573 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = 4150 - 102016. List the prime factors of x.\nAnswer: 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 3*f - 2. Let x(r) = r**3 - 5*r**2 + 5*r. Let d be x(4). Suppose -8 = d*h - 5*s, -10 = 3*h + 2*h + 4*s. Determine l(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 6:10 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 9908*k + 9944*k + 2.\nAnswer: 36*k - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.003 + -0.659. Let b = 4.338 - s. Put b, -0.2, -1, 0 in increasing order.\nAnswer: -1, -0.2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13990232980 rounded to the nearest 1000000?\nAnswer: 13990000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1690*g + 195. Let d(a) = -6*a - 3. Calculate -65*d(i) - w(i).\nAnswer: 2080*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.354 + -0.420135?\nAnswer: -15.774135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5*2*-1*1*(sqrt(272) + 1)*-1 + 2)**2.\nAnswer: 880*sqrt(17) + 27321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 8*r - 29. Let w be s(-3). Let z(n) = -3*n**3 + n**2 - n - 1. Let p be z(-1). Suppose t + p = 3*t. Sort 1, t, -5, w.\nAnswer: -5, 1, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 32. Suppose -s*d = -30*d + 80. Calculate the highest common factor of d and 1000.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, l: 1, a: 7, j: 1}. Give prob of picking 1 a, 1 l, and 2 i.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 g when three letters picked without replacement from {k: 6, g: 12}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2))**(1\/22)\/(((g\/g**(-1))\/g*g)\/g**(-5\/3))*((g*g\/(g*g**(-2)))\/g)\/(((g*g**(-3))\/g)\/g)*(g*g*g**5\/g*g)\/g*g**1 assuming g is positive.\nAnswer: g**(1235\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 363727813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -538, -3124, -10160, -23878, -46510?\nAnswer: -80288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/4 + 25*o**3 + o**2 - 100*o = 0. What is o?\nAnswer: -2, 0, 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**2 - 1179*r - 83433. Give z(-118).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -516900 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -137, -315, -567, -893, -1293?\nAnswer: -1767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Let b be 0*(-4 - 7\/(-2)). Suppose -2*z - 53 = -3*w - 7, b = 3*w + 4*z - 52. Calculate the remainder when w is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1\/3, -44\/7, 1, -4?\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bd (base 15) to base 7.\nAnswer: -1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 - 21*h + 21*h + 5*h**2)*(2*h + 4*h - 5*h + (0*h - 3*h + 5*h)*(4 - 2 - 4) - h - h + 3*h).\nAnswer: -2*h**5 - 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 102593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3 = -17. Suppose 96 = -94*y + 96*y. What is the units digit of -126*-4*4*v\/y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 580 - -150737. Suppose -65729 + 843680 = -3*k. Let u = k + v. Round u to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2479.25 rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/3 - r + 1\/6*r**2 = 0. What is r?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -739, -711, -665, -601, -519?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -1\/5 (c) -0.1 (d) 0.28 (e) 1 (f) 2\/109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 64?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 647\/206973 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 269*i + 20. Let m(v) = 90*v + 7. What is 11*m(c) - 4*z(c)?\nAnswer: -86*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*m = -257, -2*w + w + 5*m = -249. Suppose -w = 2*r - 54. Round r to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105071 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37.1 + 35. Let q = 7.9 - a. Let k = 10 - q. What is the smallest value in k, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*t - 136*t - 149*t - 146*t.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w - 18 = 9*w. Let l(d) = d**2 - 3*d + 5. Give l(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 0.38. What is l rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6ba - 344?\nAnswer: -a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 0, -4, 4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/6, 0.077, -12\/335?\nAnswer: -12\/335","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28539283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*f**2 - 12711*f - 17*f**2 - 6*f**3 - 13*f**2.\nAnswer: -6*f**3 - 12711*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3593273*a**5 + 6907*a**2 - 745 wrt a.\nAnswer: -215596380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 41*k + 341. Let s(n) = 62*n + 496. Let z(q) = 5*s(q) - 7*v(q). Determine z(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + (0 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144812562 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1242 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2948)\/16)\/((-9614)\/3496)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and -11921.\nAnswer: -1168258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-12)*-1)\/(-1). Let t be (2\/36*2)\/((-110)\/(-3102)). Let g = t - 14\/5. Which is the closest to 1? (a) 1\/9 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -k - 10. Suppose k*w + 5 = -15. Let z(d) = -5*d - 9. What is the lowest common multiple of 8 and z(w)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 152, 275, 446, 665, 932?\nAnswer: 1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -52.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2560*l**4 - 35*l**2 - l - 1060621?\nAnswer: -10240*l**3 - 70*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*y, -5*v + 5*y = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 428, 430, 432, 434, 436?\n\"Answer: 2*x + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61303804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from zcchcfcshsscscs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 163696623 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(588) - (-1*sqrt(12)*-6 + sqrt(12)))\/((sqrt(4608) + 1*sqrt(4608))\/(sqrt(16)\/sqrt(2)*4)).\nAnswer: -14*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.322 - -2.1. Let a = m - -0.012. Let y = a + -4.79. Which is bigger: y or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*d**3 - 2*d**4 - 39*d**3 + 3*d - 1 - 1 to p*d**2 + f*d**4 + q*d + r*d**3 + b and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -1d7734?\nAnswer: 1d7731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - (12 + -7)) + 19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218 - -218. Let k be (-13 - -4) + (-195)\/(-20). Sort -4, k, 129, g in descending order.\nAnswer: 129, k, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2356282 to the nearest integer?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 116673533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6442841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.24 - 1.76. Which is smaller: 22\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 18*k - 51. Let p be s(4). Let i(l) = l**3 - 3*l**2 - 14*l + 22. Let q be i(p). Solve -2*d - 2*w - q = -0, -5*w - 4 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20204.6 to the nearest 100.\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + -30 - (-6 - 1) - -7) + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x - 5*x + 3*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725 + ((-1)\/(-2))\/(104\/416) is divided by 62?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 63*r**2 + 36*r - 1017. Is b(56) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 491 - 334. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 25104?\nAnswer: -25065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 2312*t - 2303*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/(1*(-12)\/2000). Let y(s) = -w + 250 - 9*s. Let b(t) = 4*t. Determine y(b(o)).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) 4 (c) -0.2 (d) -3\/11 (e) -0.024 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - 4*u + 9*u + 2)*(u**3 + 169*u - 169*u) as f + t*u**4 + i*u**2 + a*u**3 + x*u and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**3\/6 - 5*p**2\/2 + 2*p. Let v = 50 - 57. Let c be t(v). Calculate the greatest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/11 - 15737302*x**2\/11 + 30957842148550*x\/11 - 30957826411250\/11.\nAnswer: 2*(x - 3934325)**2*(x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + q = 1174, -7*q + 5*q = 3*j - 3518. List the prime factors of j.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 2 - 7)*8\/((-72)\/2367). What is the greatest common factor of w and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from lnznnzln?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1805202*f**3*h**2 - 23*f**2*h**2 + 219*f*h**2 - 7*h wrt f.\nAnswer: 10831212*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 21. Let y be l(-15). Let o be ((-1)\/(26\/y - 4))\/1. Let m(x) = -2*x**2 + 2*x + 1. Let s be m(-1). Is s greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*s**2 - 28 + 322*s**2 + 28.\nAnswer: 478*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5 = 3*w, -7*w + 3*w = -o - 1. Let j(u) = -125*u - 4. Let n(p) = 31*p + 1. Let i(c) = 6*j(c) + 22*n(c). Is i(o) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 z when three letters picked without replacement from bbbbjjbbzbzdjbjb.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.045 - -48.045. Let p = s - 47. Put 3, p, 0.2 in increasing order.\nAnswer: 0.2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -0.022 (c) 2 (d) -0.3 (e) 0.06 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2) + -4 + sqrt(2) + (sqrt(24) + sqrt(600))\/sqrt(12) - (sqrt(18)\/(sqrt(9) - sqrt(441)) + -4).\nAnswer: 49*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c - 2. Let v(f) be the second derivative of 0 + 190*f - 5\/2*f**2 - 7\/3*f**3. What is 8*h(m) - 3*v(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 14*l**2 - 69*l - 54.\nAnswer: (l - 18)*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(222*c**5 + 300*c**2 + 506*c**5 - 300*c**2).\nAnswer: -2912*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -o - 0*o - 7, -3*s - 12 = 0. Let c = 4 + o. Suppose -2*x + 4*p = -5*x, 4*x - 1 = -c*p. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f + 60 = 0. Suppose f*s = 16*s - 16. Let h be (-67)\/(-1) + (-2)\/s*-2. Calculate the highest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031515.412 rounded to the nearest one thousand?\nAnswer: 1032000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 466.0857 nanometers?\nAnswer: 0.0000004660857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1 - ((-3 - -3) + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000000101100001 - -1?\nAnswer: -11000000101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 695300790 to the power of 1\/3, to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*h**4 - 86*h**3 - 69*h**2 + 54*h.\nAnswer: -h*(h + 2)*(h + 3)*(19*h - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239 + 14*s + 743 - 249 - 230 - 4*s to m + k*s and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218455 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**9\/3024 + y**6\/15 - 10*y**3\/3 - 46. Let l(p) be the third derivative of k(p). Find the third derivative of l(r) wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g + 5. Let c(x) = 56 - x + x - 50 - 5*x. What is 5*c(n) - 6*v(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2.569539 - -1\nAnswer: -1.569539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - z**2 + 5*z - 16. Let j be 3\/(-21)*-2 + 114\/42. What is the remainder when 100 is divided by s(j)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7767, 31063, 69891, 124251, 194143?\nAnswer: 279567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*l + 231*l = 11*q + 461*l - 40, -3*l = -5*q + 26 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 2)*(-4 + 4 - 3*c + 2*c + 3*c - 6*c - 4 + 4 - 3*c + (0 + 1 - 2)*(-5*c + 4*c - c) + 1 - 1 - c - 9*c + 7 - 7) in the form h*c + r and give h.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.12 - 0.48. Which is the third smallest value? (a) -3 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -5*h - 4*p, -5*p + 0*p - 14 = -3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + i + 4 = 0, -38 + 42 = 2*g - 2*i. Solve 2*d + 4*v = 0, 3*v = -0*d - g*d + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63366907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfwwtfddtwwftwbwt. What is prob of picking 1 d, 2 f, and 1 b?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 112237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3708 divided by -2?\nAnswer: -1854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(13) - sqrt(117)))**2 - (-2*sqrt(39)\/sqrt(3) + sqrt(13)).\nAnswer: -19*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q - q + 2*q + (-1 + q + 1)*(3 - 2 + 0))*(-8 - 295 - 1072) as y*q + o and give y.\nAnswer: -9625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375325, -750720, -1126127, -1501552, -1877001, -2252480, -2627995?\nAnswer: -3003552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 3224.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 513189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1077 + -1068. Calculate the remainder when 771 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2760147 and 2.\nAnswer: 2760149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -22, 2\/13, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - r = -2*i - 25, -4*r = 4*i - 60. Suppose 0 = -b + i + 6. Suppose -b = -w + 18. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -577 (base 10) to base 8\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -7 (b) -3\/2 (c) -247\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -44696\/717 greater than or equal to -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * 7.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118590 and 9725855.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13*1878.2.\nAnswer: -244.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*r - 6*r + 5, 2*v = r + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*y - 6*y + 4 + 0*y + 9*y wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012102 (base 3) to base 9.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83722239*y**3 - 3174326*y**2 - 8*y + 1 wrt y.\nAnswer: 502333434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - c**2 + 3*c + 69. Let b be h(0). Let k = b + -2. Suppose -72 = 5*w - k. Let i(r) = -5*r**2. Calculate i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -0.05, -4\/987, 0.1.\nAnswer: -0.05, -4\/987, 0.1, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(128\/(-100))*(-10)\/(-150)*12.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 25*l + 5. Let q = 7 - 3. Let z be j(q). Let t = z + -71. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 960 - 11*a**2 - a**4 - 14*a + a**3 - 960 + 15*a**2 as i*a**4 + s*a**2 + x*a + y*a**3 + o and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*z - 63*z - 14*z - 651 = 0 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*y + 6 - 6)*(0*y**2 - y**2 - y**2) + (3*y**2 - y**3 - 3*y**2)*(-3 + 3 + 5) + (4*y**2 + 3*y**2 - y**2)*(5*y + 2*y - 6*y).\nAnswer: 27*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*4\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x - 11. Let r be t(5). Let f be r\/35*(-55)\/22. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 850030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 224\/5 + 202*k + 7\/5*k**3 + 793\/5*k**2 = 0. Calculate k.\nAnswer: -112, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*s - 66, -3*c = -6*s - 8*c + 206. Calculate the greatest common divisor of s and 1116.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443985 to the power of 1\/2, to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23433372 - -10?\nAnswer: -23433362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1792.\nAnswer: -3584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 2:43 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 406, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/31228677 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**4\/6 - 6325*c**3\/3 - 1252210*c**2 + 104225100*c - 203424480 = 0. Calculate c.\nAnswer: -1302, 2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.338 + 0.338. Which is the nearest to t? (a) -1\/2 (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(11)*6.\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69222749 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 17*c - 5. Let p be s(5). Suppose -3*v + p = -160. Let y = -479\/6 + v. What is the third smallest value in -2, -0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2\/5 + 22526*z + 634275845 = 0?\nAnswer: -56315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -4535.5261\nAnswer: -4536.0261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -15. Suppose h*s + 4 = 11*s. What is the tens digit of ((-3)\/s)\/((-4)\/96)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 4, l: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2. Let r(h) = -5 + 12*h**2 - 20*h**2 + 3*h + 11*h**2 - 8*h. Let q(a) = 8*a**2 - 14*a - 14. Let s(p) = -5*q(p) + 14*r(p). Determine s(t(d)).\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (4 + 2)) + -4 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1249560 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*h - 12, -23 - 8 = 3*h + 5*v. Let n be (-36939344)\/(-18) + 60\/27 + h. Suppose -9*y + 6137814 = -n. Round y to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 10:37 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -85 + 35 - 18*o - 8*o + 2*o**2 + 39 + 36. Determine z(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5428.287l?\nAnswer: 5428287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*c + 2*x - 15, -4*c - x = -20. Suppose -c*i + 36 = -i. What is the remainder when 25 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.13 + 8.13. Which is smaller: 871 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -897 + 20?\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*m = -39 + 14, -2*h - 4*m = 10. Suppose -55 = -0*d - h*d. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 66 = -4*l, -l - 44 = 2*l - g. Is (-1662)\/l - (-10)\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 3 + 2 - 1. Suppose u*o = 2*o + 45. Suppose -o = -2*g - g. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -5\/6, 1.7, 0.03, 98?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(3\/11)\/l)\/l**(-5\/3))\/(l**(-1\/20)\/((l\/l**(-4))\/l)) assuming l is positive.\nAnswer: l**(3953\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445504486 divided by 85313.\nAnswer: 5222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17095474*t**3 - 3*t**2 - 3*t + 260861?\nAnswer: -102572844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -168\/11 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 38 - 20*i - 4.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 32997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458553*h = 458593*h + 720 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 30*a + 86*a**2 - 5 + 30*a to g*a**2 + n + s*a and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. What is d in -s*d**2 + 2*d**3 + 159 - 159 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12719\/10 + 1267. What is the common denominator of -11\/12 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -b + 23. Find the common denominator of b*((-140)\/96 + 2) and 79\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**3 + 5*r**2 + 2. Let p(m) = -2*m**3 - 3*m**2 - 1. Let x = 10 + -5. Suppose -26 = -4*d + 3*q, 3*d = -x*q + 3 + 2. Give d*p(j) + 3*i(j).\nAnswer: 5*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 917.\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -675ca8 (base 14) in base 11?\nAnswer: -1a89747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let h = 18 - 24. Let t be q(h). Solve 0*n - 2*n = t for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, s: 1, m: 1, b: 2, g: 2}. Give prob of sequence mgl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s. Let z(v) = -1. Let x(f) = -f + 7. Let o(i) = -3*x(i) - 21*z(i). What is o(w(h))?\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**4 - 14588881*v**3 - 15337129*v**2 wrt v?\nAnswer: -24*v - 87533286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 357\/(-28)*(2 - -2). Let v = 108 + l. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 83*c**2 + 149*c - 119. List the prime factors of k(82).\nAnswer: 7, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73890712 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iee when three letters picked without replacement from qqeieeeiei.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g - g + 4*g)*(2*g**2 + g**3 - 2*g**2) + 15*g**4 - 5*g + 1332 - 1332 to z*g**4 + a*g**3 + l*g**2 + f*g + t and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*i + 21 = 0, 4*i + 0*i - 7 = -5*c. Suppose c = 2*l - 1. Sort l, 0, 4 in increasing order.\nAnswer: 0, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 511740958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 10*s**2 + 5972*s + 65826. Calculate i(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26439*h**3 + 42*h**2 + 645*h wrt h?\nAnswer: 158634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1524, -12199, -41170, -97587, -190600, -329359, -523014?\n\"Answer: -1525*u**3 + 2*u**2 - 6*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 5, 3.2 in descending order.\nAnswer: 5, 3.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 25*x + 149. Let y be u(29). Let q be 16\/3 + (-11)\/y + -2. Solve 4*j = -l - 9, 2*j + 3*l - q = -0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, 44.\nAnswer: -5, 2, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*q - 20, 0*n + 16 = -q - 4*n. Suppose -2*u + 182 + 98 = q. Suppose t - u = -127. Calculate the remainder when 63 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 14151.6um?\nAnswer: 1.41516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -32. Let o(v) = -4*v + 1. Let g(w) = 4*w. Let u(r) = b*o(r) - 3*g(r). Let a(f) = -2*f + 2. Calculate 13*a(k) + 6*u(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 10:12 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 - -10) + -7)\/(18\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1.1 (c) -1\/9 (d) -209 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 79, 7.\nAnswer: 0, 7, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3)\/(m\/m**2))**(-12) assuming m is positive.\nAnswer: m**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62\/7 - -65\/7. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015439 (base 10) in base 9?\nAnswer: -1816825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 1188.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 174.44 and 25.\nAnswer: 199.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 44. Suppose -14 + 2 = -4*k, 4*f - k = -79. Is f greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184620444361 less than 0.1?\nAnswer: -184620444360.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q + q - q)*(1122 + 886 + 2257) as n*q + z and give n.\nAnswer: 25590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.2, 4, -8\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479*g = -381*g - 980. What is the greatest common divisor of 4630 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9344 + -93531\/10. Calculate the common denominator of 7 - (48710\/7920 - -1) and z.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(567) + 4 - sqrt(567)) + sqrt(567) - -5*(sqrt(28)\/sqrt(2))\/sqrt(2))**2.\nAnswer: 184*sqrt(7) + 3719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*(-2 + sqrt(80) - sqrt(5)) - (sqrt(5) + (sqrt(5) - sqrt(2205)) + sqrt(5) - sqrt(5))*-3))**2.\nAnswer: 19845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - 2*y - 3*y + (16 + 0 + 4)*(-2*y + 0*y + 0*y) - 26*y - 33*y + 38*y.\nAnswer: -62*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 290 + 751 - 3883 - 2016 + 6617*t**2 with respect to t.\nAnswer: 13234*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3337318.\nAnswer: 2, 41, 40699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2669 - -3101. Calculate the least common multiple of 240 and t.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(120) + (sqrt(120) - (sqrt(120)*-4 + sqrt(120))))\/sqrt(6) + -1))**2.\nAnswer: -20*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 4*i**2 + 12*i - 4. Calculate u(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 45 = -8*g. Let y = g - -17. Suppose -y*c = -4*d + 98, 4*d - 2*d - 3*c = 51. What is the greatest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f + 0*f + 3*f - 13*f - 1. What is the remainder when m(-1) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 14. Let b be (-3 - (-2 + 1)) + 8. Let z = b + s. Sort 4, 2, z.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 6:38 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 14*a**2 + 18*a - 72. Calculate s(14).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**8\/1680 - q**6\/18 + 13*q**3\/6 - q. Let f(t) be the second derivative of g(t). What is the third derivative of f(x) wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w - 16 = 0. Let q(j) = -49*j - 83. Suppose -4*n - 20 = 0, -10 = i + 2*n + 2. Let x be q(i). Solve -3*d + 2*d = -m - 3, -x = 5*m - w*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 1243, 2790, 4957, 7744?\nAnswer: 11151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 5*v + 83*p + 918, -5*v + 7*p + 6*p - 12*p + 16 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4034849 and 42.\nAnswer: 24209094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*b + 275*b = -16848 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8247.19mg to kilograms.\nAnswer: 0.00824719","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence detx when four letters picked without replacement from xdxxtuteutttttutu.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b + -111554d?\nAnswer: -1115578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p + 7. Let y(g) = 7*g - 6. Determine -6*f(c) - 7*y(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15402158 divided by 20?\nAnswer: 7701079\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 2*s**2 + 5*s - 3. Suppose v = 2*y + 27, v + 2*v = -2*y - 31. Let l be (-6)\/12 - y\/4. Let o be u(l). Solve 1 = p - o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 720 divide 16278340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*r - 2788*r + 151074 + 167177 = 0 for r.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + 21*j - 1872*j**3 - 12*j.\nAnswer: -1872*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2170 and 16\/15.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1020022 (base 3) to base 2\nAnswer: -1110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20739 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + (5 + (sqrt(968)*1)**2 - sqrt(24)\/(sqrt(108) - (3*sqrt(108) - sqrt(108)) - sqrt(108))) + -4.\nAnswer: sqrt(2)\/6 + 966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1610 divided by 46\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) - (-364)\/65. Let i(b) = 200*b - 272. Is 29 a factor of i(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v + v - v)*(-4*v**2 + 6*v**2 - 4*v**2 + (12*v - 12*v + 5*v**2)*(-4 + 0 + 3)).\nAnswer: 70*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2883542 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 2*b**2 + 44*b - 6. List the prime factors of z(11).\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8423178*k**2 - 129*k**3 + 8423178*k**2.\nAnswer: -129*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 6*p - 8 = 0. Suppose -3*k - 5 = 4*o, -5*k + 8 = -p*o - 5. Calculate the least common multiple of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 580 by 5.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 340\/(-3808)*(-8)\/5\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) 1\/3 (b) 5 (c) 2\/9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 186*i - 531.\nAnswer: -3*(i + 3)*(i + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-17)*w)\/w**(2\/69)*(w**(-10))**17 assuming w is positive.\nAnswer: w**(-10352\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20, -87, -242, -527, -984, -1655, -2582?\n\"Answer: -7*t**3 - 2*t**2 - 12*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -85*l - 5816. Let k(o) = -4*o + 7. Calculate h(k(y)).\nAnswer: 340*y - 6411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -12.17 (c) 0.2 (d) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**4 + 4*t**3 + 6*t**2 - 29*t - 29. Let r(n) = 7*n**4 + 9*n**3 + 12*n**2 - 59*n - 59. Let o(x) = 5*i(x) - 3*r(x). Let o(s) = 0. Calculate s.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*i**2 - i**3 + 5*i**3 + 9*i**3 + 2*i + 0*i**3.\nAnswer: i*(i - 1)*(13*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/31037 or -189\/2?\nAnswer: -189\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -207.2 + 207. Which is the closest to i? (a) 2 (b) -8 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 12*r - r + 31*r - 6*r - 10*r + 752*r**3 as k*r**3 + w + m*r**2 + l*r and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39965557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207346 is divided by 63?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1)\/(4 - 5) + 4*8 and 27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l + 48 = -14*l. Suppose 2*y - l*x = -116, -62 = 5*y + 3*x + 228. Round y to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20201 - 11?\nAnswer: 20130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116 + 55. What is the smallest common multiple of 12 and (u - -1)\/(-3) + 0?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 19400 = -36*q - 49*q. Is q != -202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*q**3 + q**2 + 29*q**3 + 1 - 23*q**3 as a + s*q**3 + g*q**2 + m*q and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 3, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*f**2*l + 30*f**2*v**2 + 496*f**2 + 247*l*v**2 wrt l?\nAnswer: 7*f**2 + 247*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264951 is divided by 740.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/((-45)\/(-78)))\/(32\/(-80)). Determine m, given that -2*m + z*m**2 + 14*m**2 - 6*m - 29*m**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 - 2*w + 12*w + 9*w**3 - 9*w - 7 to u*w**2 + v*w + a + x*w**4 + l*w**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -12420.2433 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.805508 rounded to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/5 (b) -1\/5 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40439095 to the nearest integer?\nAnswer: 6359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 167886967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.2952, 3\/7, 15?\nAnswer: 0.2952","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88021981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -30*u + 15*u - 7*u. Let g(f) be the first derivative of -3*f - 1\/4*f**4 - 33 - f**u + f**2. Give g(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 61*x + 674. Let p be b(-11). What is the fourth biggest value in -2, 0.2, -74, p?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 2874884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/6)*t\/(t**(-2)\/t)*(t**(1\/4))**(2\/17) assuming t is positive.\nAnswer: t**(197\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqju when four letters picked without replacement from yyuyqqyyyyqjjyyjyyqy.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g - 5*h = 4086, 5*g + 4*h - 10281 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 4)*(-3*b - 8 + 8)*(-25*b - 6*b**2 + 25*b) in the form x + f*b**3 + l*b + q*b**2 and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -5*w**3\/6 + 2*w**2 - w. Let t(x) = 4*x - 3. Let n(g) = 3*c(g) + 4*t(g). Let d(q) = 3*q - 3. Calculate n(d(f)).\nAnswer: 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 + 3*h**4 + 2*h**2 + 4*h**4 + 6*h**4 + 2*h**4 + 3*h**4 - 5 + 5 + (2*h - 3*h + 0*h)*(-2*h + h**3 + 2*h) - 3*h**4 - h**4 - 2*h**4.\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -0.1, 48, -1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, y: 3, o: 6}. What is prob of picking 3 y?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2405664 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268961 (base 11) to base 16.\nAnswer: -66f78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 0. Let f = -15 + d. Let a be f\/((-2 - 0)\/28). What is the greatest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 4*u + 2. Let s(w) = 14*w**2 + 22*w - 9. Calculate -5*c(g) - s(g).\nAnswer: -4*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-110)\/15))\/((-2)\/16*-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 5, o: 5}. What is prob of picking 2 p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -722?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*i*n**3*s**3 + 3*i*n**3 - i*n**2*s**3 + i*n*s**2 - i*s**2 - 4*n*s**3 wrt s?\nAnswer: 96*i*n**3 - 6*i*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 339617687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63\/89 + 289\/534. What is the third biggest value in 1\/134, t, 9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -396 divided by -18\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 338*j**3\/11 - 910*j**2\/11 - 304*j\/11 - 24\/11 = 0. Calculate j.\nAnswer: -2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*y = 13*y - 42*y + 378 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*f + 47, -2*f + 77 = -3*c - 10. Let t = 33 + c. Factor -2\/3*n**t + 8\/3*n**3 + 0*n + 0.\nAnswer: 2*n**2*(4*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23228 + 1288?\nAnswer: -21830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1 + 4*-1*(-3*sqrt(1331) + sqrt(1331)))*-2)**2.\nAnswer: 704*sqrt(11) + 340744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3669464 + 11008398 - 3669465 - 7*s - 3669469.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*z - 25. Suppose 0 = -5*u + 1 - z. Let n(q) = -11*q**2 - 2*q - 1. Let s be n(u). Which is smaller: -11 or s?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23)\/7 - (-10)\/35. Suppose -y + 10 = 4*s - 11, 0 = 4*s - 20. Let f be -2 - (1 + 0)\/y. Is f smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 25*k**2 + 3*k + 14. Give c(13).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1\/7, -13, -0.082776, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/20 and 83\/1930?\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1356 divide 54042647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 340*b - 1296. What is s(166)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2014 and 2015 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155 + -121. What is the highest common divisor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-9)*3\/(-2). Let d = -2.2837 + 0.2837. Which is the third smallest value? (a) o (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2*b**3 + b + (-1 + 1 - 2*b)*(-b**2 + 5*b**2 - b**2))*(57*b + 204*b + 228*b - 5*b).\nAnswer: -1936*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2332649 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3024.16635 to 1 decimal place.\nAnswer: -3024.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 2*g + 0*g)*(4*g - 4*g - 5*g**3 + (3*g - 3*g - 2*g)*(-2*g**2 + 2 - 2)) - 2*g**2 - 28*g**4 - g**2 + 17*g**4.\nAnswer: -9*g**4 + 3*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -225080 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480240 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(114) + sqrt(114))*4)\/(-4*sqrt(18)\/sqrt(3) - sqrt(6)).\nAnswer: -16*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-155)\/(-93)*(-5)\/15?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3642 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*l - 34*l + 22*l + 256854800. What is l rounded to the nearest ten thousand?\nAnswer: 2790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/1 - 4) + (-1 - 1). Which is smaller: q or -220?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p, -5*p - 50 = -w - w. Solve -w = 5*o - 5*s, -2*o - 3*o + s - 9 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2*s**3*u + 51*l**2*s - l**2*u**2 + l*s*u**2 - 24*s**3*u**2 + 3*s**3*u - 8*s**2*u - 2*s*u**2 wrt l.\nAnswer: -2*s**3*u + 102*s - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 4. Let k = w - -8. Suppose 2*s = -y - s + 3, y + k*s - 1 = 0. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-423)\/72 - 1\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, x: 2, b: 2, v: 3, l: 6, d: 3}. What is prob of sequence dlv?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/(x*x\/((x*x**12)\/x)*x)*x**(1\/5)*x*x**(-3)*x*x)**(-2\/3) assuming x is positive.\nAnswer: x**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 0*u + 1 - 1 + u. Let g be b(0). Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v. Let p(k) = k**2 - k + 2. Let g be p(0). Let d be v\/(0 + 1) + g. What is the highest common factor of 22 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30211 (base 7) in base 3?\nAnswer: -101000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d = 3*q - 4, -3*q = 4*d - 20. Solve -3 = q*i + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -43*l**3 + l**2 - 1. Let v be h(-1). Let j = v + -44. Sort j, -5, -4 in descending order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 13*n**3 + n**2 + 6*n + 6. Determine i(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -355*c + 823*c + 497*c + 248*c in the form z*c + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*o + 4 = 0, -2*v + 0 + 5 = 5*o. Suppose s - 4 + 0 = v. Suppose 21 = l - s*q, 3*q = -5*l - q + 33. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwgg when four letters picked without replacement from ggwgggwwwwggg.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4)*g)\/g)\/g**(-37) assuming g is positive.\nAnswer: g**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**5 + 2*l**5 - 7*l**2 + l**2 + 7*l**5 wrt l?\nAnswer: 480*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-25)\/4 + 2)\/(2\/(-16)). Let m be ((-2)\/s)\/((-5)\/10). Which is the third smallest value? (a) 1\/9 (b) 4\/7 (c) m (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 60 + 45. Let p(g) = 0*g**2 - 7*g + t*g + 1 + g**2 - 13*g. Let j(d) = -d**3 + 5*d**2 + 6*d + 5. Determine -j(u) + 5*p(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 4\/9 (c) 2752 (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - t = -4*p, 3*t = p + 2. Calculate the remainder when 1 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49351 or 49349?\nAnswer: 49349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 921429915 to the power of 1\/3, to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -141015 - -37\nAnswer: -140978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15682 in -4, -0.3, -3\/5, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696960.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*h**3 + 34*h**3 - 17*h**3 - 6*h**3.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q + q**2 - 3 + 3.\nAnswer: q**2 - 40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26838 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -45. Suppose 10*k = 13*k. Let l = 1 - k. Which is bigger: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 20*f**3 - 18*f. Let w(y) be the second derivative of 2*y**5 - 6*y**3 + 2*y. Let n(t) = 5*a(t) - 2*w(t). Find the second derivative of n(g) wrt g.\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 4) to base 15\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0907495 rounded to four decimal places?\nAnswer: -0.0907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12690*h**2 - 25370*h**2 + 12695*h**2.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x**4 + 253*x**5 - 250*x**5 + 3*x**4 + (x**2 - x**2 - 2*x**2)*(-x**3 - x**2 + x**2) - x**5 + 2*x**5 + 0*x**5.\nAnswer: 6*x**5 + 9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127836 or 119403?\nAnswer: 119403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/116? (a) -2 (b) 8\/7 (c) 1\/3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4749 and -0.2.\nAnswer: 4748.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(-5*2\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7472108*c**2 - 905684*c**2 - 958334*c**2 + 4448123*c**2.\nAnswer: 10056213*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/11708 and -3\/292700.\nAnswer: 292700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42458717 is divided by 106.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Let b = -4 - -3. Let v(f) = 8*f**2 + f. Calculate the remainder when v(b) is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5621 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/18))\/m*m*m*m**(5\/2)*m)**(6\/31)\/((m**1)**(-42)\/((m*m\/(m\/(m\/((m\/m**(7\/2))\/m*m))))\/(m**(-6)\/m))) assuming m is positive.\nAnswer: m**(10151\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {l: 1, x: 1, e: 2, z: 3, b: 3, a: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(-7*3\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -532394300 to the nearest 1000000.\nAnswer: -532000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**8)\/(w*w**(-24)) assuming w is positive.\nAnswer: w**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 0.018 (c) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 198630 + -63311. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9223 or 9221?\nAnswer: 9221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 16932.81ug?\nAnswer: 0.00000001693281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7925 (base 10) in base 4?\nAnswer: -1323311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.776254058 to 3 dps.\nAnswer: -1.776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + 2*-1*sqrt(833) - (2 + sqrt(833) + sqrt(833) + 1 + sqrt(833) + 5)))**2.\nAnswer: 14000*sqrt(17) + 522225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10782 or -10801?\nAnswer: -10801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/6 + (-2)\/3. Let h(k) = 5*k - 2*k + 5 - 2 - 2*k. What is h(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - -4 - 16\/(-4). Suppose -23 - 133 = -c*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5784*g + 3*g**2 + 4 - 2*g**2 + 5784*g - 4.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from lnnnjllsnjnns?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 56 = -m, 0 = -b + 3*b + 2*m - 58. Let y = -65 + 70. Suppose 0 = 14*z - y*z - 135. What is the remainder when b is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 944 = -352. Let k(s) = j + s - 138 + 68. What is k(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**2 + 4938104*u + 3048108889352 = 0.\nAnswer: -1234526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0*o**2 - o**2)*(-4 + 0 + 3)*(15*o - o + 17*o).\nAnswer: 62*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.3, -516.\nAnswer: -516, -0.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = 2*t + 2*f - 200, 8*t - 36 = -2*f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -519895220861 less than 0.0927?\nAnswer: 519895220861.0927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30018, -2, -9, 2, -3 in decreasing order.\nAnswer: 30018, 2, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 13*i = 8*i + 34. Suppose 2*z - 2*m = -18, -4*z - 2*m - 2 = -2*z. Let l = -15 + 19. Sort l, z, i in decreasing order.\nAnswer: l, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:58 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34.5 + -30. Let t = p - 4.1. Which is the closest to 0.1? (a) -0.3 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/9)\/(-2)*(-1128)\/(-235)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1460 + -44655910?\nAnswer: -44657370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -32, -2 in increasing order.\nAnswer: -32, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 1\/6*y**3 + 0*y - 1\/12*y**4 + 0 - 37*y**2. Let z be j(-1). Solve 4*w + 4 = z*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69.22 - 0.78. Let y = x + 43. Let b = 27.0021 + y. Round b to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2. Let f(a) = -a + 35. Let i(t) = -17. Let x(h) = -6*f(h) - 13*i(h). What is y(x(v))?\nAnswer: 36*v**2 + 132*v + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 3, k: 3}. Give prob of picking 2 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/3)\/f**(1\/9)*(f\/f**(1\/4))**31*(f\/f**7*f**8)**(2\/73) assuming f is positive.\nAnswer: f**(62705\/2628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/46*1*-11*(-1)\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:40 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -158? (a) -0.3 (b) 0.4 (c) 0.2 (d) -7\/6 (e) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/24 and -11\/672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c**3 - 3*c**2 - 3*c - 1. Let n(p) = -p**3. Let j(x) = -36*n(x) - 4*w(x). Factor j(s).\nAnswer: 4*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43224 - -47152. Solve 0 = 10*d - 4018 + j for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 7) to base 8.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -48*t - 153. Suppose 0 = 25*f + 28 + 72. Let n be q(f). Solve o - n = -39 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184 divided by -184.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) 0.1883 (c) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 44*g**2 - 319*g - 135. Let i be l(-35). Which is the biggest value? (a) -18 (b) 0.3 (c) 3 (d) -8 (e) i\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n. Let g(d) = -7*d + 1. Let y(b) = -16*b + 2. Let u(v) = -2*g(v) + y(v). What is -10*a(x) + 6*u(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 4, -0.029, -2632, -4\/9, -0.3?\nAnswer: -2632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 175811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 17. Let s(j) be the third derivative of -j**6\/80 - j**5\/120 + 17*j**4\/24 - 10*j**2. Let v(i) be the second derivative of s(i). Determine v(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*c - 17 = 8, -5*k + 5 = c. Let p(u) = -7*u - 1420. Let l be p(-204). Sort k, -2, -5, l in decreasing order.\nAnswer: l, k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 2 + 10 + 5*y + 1 + 2*y**3 to the form d*y + i*y**2 + l + c*y**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1*((-3855)\/(-6) + (-270)\/60) and 242.\nAnswer: 7018","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 8*b**2 + 8*b + 10. Let c be 2\/8 + 49\/28. Suppose 5*w + 5 = 2*w - 4*y, -3*y - c = 2*w. Let s be g(w). What is the closest to 0 in s, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-123)\/9)\/((-230420)\/1146480)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + b**2 + b + 18. Let o be j(0). Let s = o + -6. Suppose 0 = -p - 3*p + s. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 2*j + 108. What is the greatest common factor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 280554*j**2 - 3366999*j + 7575930.\nAnswer: 3*(j - 9)*(j - 3)*(j + 93530)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 21 = -v, -s - 5*v - 17 = -3*s. Let h = -19 - -35. Let m be -5 + -92*(-1)\/h. Sort m, s, 4, 0 in decreasing order.\nAnswer: 4, m, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaydyddadaddyd. What is prob of picking 1 d and 2 a?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3282 (base 15) to base 7\nAnswer: -43121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09207 - 12.38693. Let a = 11.89 + y. Round a to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32*(-3)\/(-6) - 0\/(-1). Suppose 5*a - 40 = -5*u, -2*u - a + r = -0*a. Solve -s + 6*s = -5*l - 5, -3*l - u = -2*s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 109\/19 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7 = 25. Let x = 32 + v. Calculate the greatest common factor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102555, 205092, 307587, 410022, 512379, 614640, 716787, 818802?\nAnswer: 920667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -16*c - 4. Let l be k(-5). Let z(r) = 44*r - 2891. Let t be z(67). Calculate the highest common divisor of t and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.36, 2, 14, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 790115637 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 3 + 19)*(-2*l**4 + 3*l**2 - 3*l**2).\nAnswer: -106*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**3 - 3*f**2 + 2*f**2 + f**3 - 1. Let n be ((-8262)\/187 - -39) + (-2)\/(-11). Let j(g) = g**3 + 2*g**2 + 2. Give n*j(w) - 10*d(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - 6*((sqrt(34)\/sqrt(2))**2 + sqrt(17))) + 1 + -2 + (sqrt(187)\/(sqrt(33)\/sqrt(3)) - sqrt(17)) + -3.\nAnswer: -106 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**2 + 47*d + 202. Calculate l(-4).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -18\/52837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0086793 rounded to four dps?\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 139*s**2 + 1370*s - 4. Let d(n) = 12*n. Give d(c(p)).\nAnswer: 1668*p**2 + 16440*p - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 5706*j + 28605.\nAnswer: -3*(j - 5)*(j + 1907)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 3082?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4*2\/(-20)). Let n = -14 + u. Solve 2*r - 1 - n = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1315*o - 1311*o = 12. Which is the third biggest value? (a) o (b) 0.2 (c) 4\/5 (d) -2\/193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134.2522km to millimeters.\nAnswer: 134252200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neeeknkeellnnzenneey. Give prob of picking 1 n, 1 e, 1 k, and 1 y.\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -28. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*g + 36*g + 40. What is the least common multiple of g and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1322 is divided by 357?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-779)\/38 - -20)*3*(-4)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -126 + -21 + 42 - -23 - -35.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + 4 + 4 + sqrt(98)*-2 + 4 + (-5 + (-1 + sqrt(98) + -1 + sqrt(98) - sqrt(98)))*-1)**2.\nAnswer: -966*sqrt(2) + 1411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 18*b + 33 = 0. Suppose 550 = -b*s + 13*s. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -103*l**2 - 1071*l - 3. Give a(-7).\nAnswer: 2447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 2. Let c be h(2). Suppose c*v + 2*v = 20. Solve -v*x + 9 = -1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-27) + (1\/(-1) - 0)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -85+-0.333724\nAnswer: -85.333724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o - 13. Let n be g(-12). Suppose -9*w + n = -241. Calculate the highest common divisor of w and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1622, 1797, 2096, 2519, 3066, 3737, 4532?\nAnswer: 5451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 5. Suppose -4 = 5*y + 11, 3*x = -2*y + 12. Let a be r(x). Suppose -3*w - 22 = -5*t, w + 2*t = -6 + 17. Solve w + a = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*d - 53 - 216*d - 135*d.\nAnswer: -2*d - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445*p + 2008 - 1008 - 122*p - 1000.\nAnswer: -567*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 635 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -362.093 - -362. Let r = 6.907 - k. Which is the biggest value? (a) -5\/4 (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*((-1 + sqrt(1053) + sqrt(1053) + 2 - sqrt(1053)) + sqrt(1053)) + sqrt(1053)*2*-2 + 5*(sqrt(1053) + -3*sqrt(1053)))**2.\nAnswer: 55728*sqrt(13) + 7789284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1)\/(q**3*q)*q\/q**(2\/3)*q\/(q\/(q*q*q*q\/q**(2\/9)*q*q*q)*q)*q assuming q is positive.\nAnswer: q**(19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21967*l**2 + 4310*l - 21966*l**2 - 4398*l.\nAnswer: l**2 - 88*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -64.6+2.769974\nAnswer: -61.830026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from {e: 5, d: 3}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24754 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -412755000 to the nearest 1000000.\nAnswer: -413000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 99*l**2 + 6*l + 7. Suppose -26 = 17*k - 4*k. Is j(k) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 4*n - 6, 3 + 0 = 3*p + 3*n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 7*j - 9. Let m(a) = a**3 + 5*a**2 - 4*a + 4. Let d be m(-6). Let c be i(d). Is 22 - (-2 - (0 + c)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 18178\/(-1192) + ((-6)\/8)\/1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3417135?\nAnswer: 3, 5, 37, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.98688 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 1, g: 1, i: 4, b: 3, u: 4}. Give prob of picking 1 n, 1 i, and 1 u.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*k - 289332 - 13399 = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 1:05 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (229 + 332*j - 114 - 115)*(0 - 2 + 0)*(-j - j + 4*j).\nAnswer: -1328*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 39. Suppose -12*x + 416 = -4*x. Suppose -5*i + 4*i - x = -4*s, 5*i - 39 = -3*s. Let b be d(s). Calculate the highest common factor of 65 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799978256.\nAnswer: 2, 7, 11, 641, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20 * -1625556\nAnswer: 32511120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 40. Let y = 211 + -211.2. What is the nearest to y in -0.4, l, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 572*w + 69. Is v(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59291783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 296\/1998*(12\/(-8))\/3?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {d: 6, b: 1, i: 3, k: 1, w: 2, f: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 4. Let j be b(3). Suppose j*c + 0*c - 10 = 0. Suppose c = o - 5. Solve n + p + 4 = 7, -3*n - 2*p = -o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 6.6, 6, -5, -4 in descending order.\nAnswer: 9, 6.6, 6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 124*m + 462. What is u(-4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41d + 358?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 9 - 2*n**2 - 19*n**4 - 4 as f*n + q + x*n**4 + h*n**2 + d*n**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**5 - 19380*d**4 + 116184*d**3 - 232312*d**2 + 193572*d - 58068 = 0.\nAnswer: 1, 3, 4839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 1 h when three letters picked without replacement from vghry.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.9813948 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8723.\nAnswer: 11, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.46 and 0.31538.\nAnswer: 0.77538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, q: 1, j: 2, d: 5, p: 8}. What is prob of picking 2 d, 1 q, and 1 j?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 6. Let n = -51 + 34. Suppose 0*l - 2*l = 4*h - 16, 5*l = -20. Let r(s) = -s**2 + 7*s. Let t be r(h). Let z(i) = -3*i - 17. Give n*j(f) + t*z(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**3 - 9*x - 21. Let q(s) = -s**3 - 4*s - 10. What is 4*n(y) - 9*q(y)?\nAnswer: -3*y**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 3*m**2 - 26*m - 100. List the prime factors of c(-22).\nAnswer: 2, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, b: 9, u: 8, k: 1}. What is prob of picking 1 u, 1 k, and 2 v?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19234264 divided by 196?\nAnswer: -98134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6562, 15929, 25282, 34615, 43922, 53197?\nAnswer: 62434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22656\/(-9204)*(-34 - 5)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-208) - 2\/13?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*n + 3*n + 223, -2*i + 95 = 3*n. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 235 + -231. Let f(y) = -y**3 + 4*y**2 + 3*y - 5. Give f(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 69*d + 7. Let x(h) = h**2 + 69*h + 6. Give -3*a(j) + 4*x(j).\nAnswer: j**2 + 69*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of 13*h**4\/24 - 11*h**2. Let p(n) = -n**2. Calculate p(o(s)).\nAnswer: -169*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.51 + 0.51. Is u equal to 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 7. Let x(l) = 10*l - 221. Let t = -734 + 759. What is the remainder when x(t) is divided by r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139607*m**4 + 12*m**3 - 3*m**2 + 4*m + 502800 wrt m?\nAnswer: 3350568*m + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmymmmymyymymyyymy. What is prob of sequence mymm?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.15 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 x when four letters picked without replacement from {w: 4, x: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*p = d - 372, 5*d - 614 = p. List the prime factors of d.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -992*f**2 - 92*f + 493*f**2 + 498*f**2 + (-2*f - 2*f**2 + 2*f)*(-3 + 2 + 3).\nAnswer: -5*f**2 - 92*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -9. Let m(h) = 5*h + 3. Let k(u) = -24*u - 16. Let f(a) = n*m(a) - 2*k(a). Let j(c) = -c**3 - 25*c**2 + 57*c + 78. Let s be j(-27). Give f(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82 by 18.\nAnswer: 41\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -7*m**2 - 5*m + 0 + 1\/3*m**3. Let d be g(7). Solve d = -7*h + 6*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2508006750 is divided by 2031.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -37*b**2. Let f(n) be the second derivative of -4*n + 0*n**3 + 14 + 0*n**2 - 1\/12*n**4. Determine f(i(x)).\nAnswer: -1369*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 2*c - 2. Let x(z) = 1. Suppose -3*o - 5*v = -22, v + 10 = -5*o + 2*v. Calculate o*l(b) - 4*x(b).\nAnswer: b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*g**3 + 44*g**3 + 17*g**3 + 21*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -2 - 1) + -3 + -98 + -29 + 57.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354, 335, 302, 249, 170, 59, -90?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 v, and 1 d when three letters picked without replacement from vuvuddtuvxttwtdvvv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245038?\nAnswer: 2, 17, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2439011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 equal to -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**3 + 2*x - 4*x**2 + 3*x**3 - 5 - 3*x - 5*x**3. Let m be r(5). Solve -2*g - 40 = 3*g - 3*i, 2*g - m = -5*i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5652935 less than 5443099?\nAnswer: -209836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*m - 796*m + 147*m = 2163*m - 152405 for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-14) - (-7299374)\/7. Suppose s = z - 1347232. Round z to the nearest 100000.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2 - 484*y - 58564 = 0. What is y?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssgdgoggddsagadgg. Give prob of sequence sdg.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 4*c**2 + 9*c**2 - 6*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 14*d - 20*d + 20*d + (0*d + 2*d - 4*d)*(-3*d - 2*d + 3*d) - 2*d**2 + 2*d**2 + 2*d**2 as g*d**2 + j*d + z and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1202121002?\nAnswer: 1202121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvcvhhvuhh. Give prob of sequence hh.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/16 - -43\/176. Let k = -21.45 - -21. Let d = 0.05 + k. Sort w, d, -3\/7.\nAnswer: -3\/7, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, 0, 407, 159 in ascending order.\nAnswer: -67, 0, 159, 407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -18) + (0 + 0 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-10))\/(205580\/7800 + -26 + 2\/(-6)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 804 and 28769800.\nAnswer: 86309400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 2*s + 4 = 0, -3370*m + 4*s + 78 = -3327*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9681 - -9811. Calculate the smallest common multiple of 25 and k.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2 (c) -2218 (d) 24.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20264 - -3?\nAnswer: -20261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 19 = 8*s + 3*x, -s + 5*x - 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*h + 2*h. Let y(z) = -z**3 + 12*z**2 - 13*z + 13. Let s be y(11). Is s greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*k = -3*o + 31, 3*k + 11 = 2*o. Suppose 4*u - 5*h + 4 = o, 3*h = -3*u + 9. Determine l so that -12*l**u + 0*l - 4*l**3 + 0*l - 8*l = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 382, 371, 360, 349, 338?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -52.08?\nAnswer: 15.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = p + 1. Let a be ((-998)\/(-12) - 1) + 1\/(-6). Suppose -a = -4*n - 34. What is the greatest common divisor of n and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 48 = 3*w. Suppose i + w = 4*h, -6 = -2*h - 0. Solve i = -4*o - 3*c + 2*c - 15, 2*c + 12 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-24)\/(-18)) + 2\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.05 (b) 4 (c) -105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1205039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.9767 + 124071.9767. Let w = r - 124111.919. Let g = -52 - w. What is g rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 2 - 12 - 9*x**3 + 0 - 85*x - x**2.\nAnswer: -9*x**3 - x**2 - 85*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -537 - -289. Let a = 87 - k. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m - 3*m + m)*(0 + 2 - 4) + 1 - 2 - m + 0*m)*(0 + 0 - 3)*(18*m**3 + 54*m**3 + 58*m**3).\nAnswer: -2730*m**4 + 390*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*y**4 + 6*y - 9*y + 3*y - 15*y**2 wrt y.\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*x + 3, 4*x - 5*j = x - 37. Let v be -1 + 9 - (-2 - x). Find the third derivative of -p**2 + 0*p**v + p**6 + 0*p**2 wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1132?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 - 38. Let r be 3\/(-21) + 87\/21. Suppose x = -3*f + r, h = 3*x + f + 4. Solve -m - 25 = x*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/7*(-77)\/(-66)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11372042 + -156053\nAnswer: 11215989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*c - 362 - 3*c - c - 2*c - 6*c + 2*c**2 to n*c**2 + l + k*c and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 0, -3 + 1 = 18*x - 16*x - 0*g + 2*g + g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (66 + (-10100)\/150)*(0 - (-9)\/(-42))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 228 - 226. Let q(h) = h**m + 7*h - 3 - 15*h - 2*h. Determine q(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1251548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2 in decreasing order.\nAnswer: 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-354)\/177)\/(16\/6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25917129, 25917141, 25917165, 25917207, 25917273, 25917369?\nAnswer: 25917501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 27915217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/8585 and 67\/6868.\nAnswer: 34340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 10 = -24. Let m be 1*(3 + 1 + -3). Let p(s) = s + 7. Let u be p(-6). Solve -u = -y*z + m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2388?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-10*((-4004)\/(-1430) - 16\/(-10)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10845443.\nAnswer: 7, 23, 31, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-28 - (-18 + 4))) + -13 - (-31 + 1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 31638.08932.\nAnswer: 31638.08932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1905243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -484 + 635. Let v be -74*(-1)\/6*-3. Let y = u + v. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 375*c = 374*c - 17139, -2*t + 6855 = -c. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2, 32537, -5 in ascending order.\nAnswer: -5, -2, 15, 32537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -451 - 13. Let g = -460 - f. Solve -6*m - 16 = -2*m, -3*l + m + g = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-455)\/2)*2 - -7. Which is smaller: 466 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5\/1)\/(4\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -21.5. Which is the closest to -0.2? (a) -4 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6. Let s(v) = -6*v + g*v + 2*v. Let l(f) = -3*f. Give s(l(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**3\/4 + f**2 + f\/4 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 12 - 14)*(6*p - 3*p + 0*p) to b + u*p and give u.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 3:09 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 + 47861472*k + 190893375167232 = 0. What is k?\nAnswer: -7976912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3925.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 22943626?\nAnswer: -114718130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1026 + -0.102599431. What is z rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2234 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-47) + (-1805)\/1083 + ((-56)\/(-6))\/2\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + y = -3, -4*y = 2*x + 7 - 25. Let j be ((-12)\/75)\/((-30)\/375). Solve x*a + l = 8*a + 23, -j*a = 5*l + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 4589?\nAnswer: -4588.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32668623 divided by -9\nAnswer: 3629847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*m + 991 + 12077 = 2748 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20202)\/91)\/74)\/(4\/2*1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 9*b**2 + 18*b + 1. Suppose -z + 4*z - r = 21, -3 = -3*z - 5*r. Let o be i(z). Solve 8*h + o = 7*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 11:01 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -197*f - 49*f - 52*f - 200*f - 30378 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 33*a)*(-4 - 3 + 4)*(2*a - a + a)*(2 - 3*a - 28*a - 5*a).\nAnswer: 7128*a**3 - 396*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t. Let p(k) = 11*k - 5. Let g be p(2). Let u = g + -15. Let y(n) = -u*n + 3*n + 2*n + 2*n. What is c(y(l))?\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -b?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/80 and -79\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y + 6. Let t = -228 - -248. Solve -4*d + n + 2*n = -t, 2 = y*d + n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -413959587 at most as big as -413959587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 713, 1422, 2133, 2846?\n\"Answer: y**2 + 706*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l + 8 + 27 = 252 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/9 + 490*t\/9 - 488\/9 = 0. Calculate t.\nAnswer: 1, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/(-11) + (-348)\/(-220) + (-14)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17373, -138752, -468151, -1109580, -2167049, -3744568, -5946147, -8875796?\n\"Answer: -17335*o**3 - 34*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/11))\/(t*t**(-1)*t))\/(t\/(t**(5\/2)*t)*t\/(t\/t**(-2)))*(t\/(t\/t**2)*t**1)**(2\/75) assuming t is positive.\nAnswer: t**(2419\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**5\/30 + 59*w**4\/6 + 3481*w**3\/3 + 205379*w**2\/3 - 8*w + 11. Solve r(d) = 0 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = w - 6, -5*w - 2*x + 6*x + 28 = 0. Let c = -2 + 2. Suppose c = w*q + 1 - 49. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) - (-2*sqrt(14) + sqrt(14))\/sqrt(2)) + -2)**2 - ((-2*sqrt(252))**2 + 4)) + -4.\nAnswer: -984 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.057, -3\/2, -4, 3, -31.91?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = -6. Suppose 12 = 6*t - q*t. Find the third derivative of 15*b**2 - 3*b**t - 21*b**2 + 6*b**4 wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 35 = 5*r + 7 + 59, 65*r = 31*r + 29*r + 3*o - 91 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o + 4. Let f be h(-4). What is the common denominator of 27\/16 and (8\/f)\/(2\/(-50))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -5 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6582 + -6578. Solve 5*x - s*g + 6 + 1 = 0, 5*x = -2*g + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 15.5. Let u be (-4)\/5 + 1 - (-312)\/65. What is the fourth smallest value in r, 1\/4, u, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 906*t - 2691.\nAnswer: -3*(t + 3)*(t + 299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4704*w = 4705*w - 5. Solve -5*q + 15 = -w*d, -q - 10 = 4*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -612 divided by -39414\nAnswer: 102\/6569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68571*y**2 - 75*y - 66*y + 141*y.\nAnswer: -68571*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -178, -177, -176?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 18762, 1, -32, 0.5 in ascending order.\nAnswer: -32, 0.5, 1, 18762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/14029 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/11)\/w*(((w**2\/w)\/w*w)\/w)\/w)**(-2\/103)\/((w**(-2))**(-8)*(w\/((w**(2\/5)*w*w)\/w))**(-34)) assuming w is positive.\nAnswer: w**(-167424\/5665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -11*i**2 + 14*i - 6*i - 7*i**2 + 17*i**2 - 12. Suppose 0 = -b + 837 - 833. Give g(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98 - -72.5. Let j = c + 22.5. What is the biggest value in 4, j, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 106*m + 35. Does 26 divide k(-59)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -35.6, -4, -2\/13, -0.06?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/5*-1)\/((418\/(-48))\/19)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*s = -2*s - 99, 4*r = 5*s - 96. Let u = r + 27. Calculate the highest common divisor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 36\/11 (c) 2 (d) 0.2 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 9*b**2 + 46*b + 62. Let r be t(13). Sort 5, -2, 4, r in descending order.\nAnswer: 5, 4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/23421?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -201 + 505. Suppose 5*i = -4*m + 586, 0 = 2*m - 0*m - 3*i - t. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -10) + ((-715)\/(-429))\/(10\/18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1537373 (base 9) to base 6.\nAnswer: -30131233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 14. Let p = -17 - x. Let u(r) = -r**2 - 4*r - 5. Let g be u(-4). Put p, -2\/7, g in ascending order.\nAnswer: g, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -569 divided by 41\nAnswer: -569\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -331, -741, -1313, -2047, -2943, -4001?\nAnswer: -5221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9318 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-8 - -31) - 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 8767808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199561147?\nAnswer: 17, 151, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40858 is divided by 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 + (-642)\/44)*12\/(-7). Which is smaller: 2 or c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 221 (c) 0.2 (d) 544\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 12. Calculate m(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 782?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -200*o - 178 wrt o.\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/(2\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2902, -5841, -8812, -11815, -14850, -17917, -21016?\n\"Answer: -16*w**2 - 2891*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 28 - 36. Solve -r*l + 9 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-189) + (-11)\/(-99).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40004, -80007, -120010, -160013, -200016?\n\"Answer: -40003*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m*m*m**(5\/3))\/m)*((m\/m**(1\/21))\/m)\/m)\/(m**(-7\/5)*m**(1\/5)) assuming m is positive.\nAnswer: m**(-88\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 64, 80, 112, 166, 248, 364, 520?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.04 and -114834893412?\nAnswer: 114834893412.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11959 - 180490 = 2987*y + 2120*y for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -177\/7, 0.1, -2 in decreasing order.\nAnswer: 1.1, 0.1, -2, -177\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59240 by -11848.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 61, -185, 3\/4, -0.5, -38 in decreasing order.\nAnswer: 61, 4, 1, 3\/4, -0.5, -38, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 0*k - 4\/3*k**3 - 4 + 0*k**2 - 1\/2*k**4. What is the third derivative of b(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**3 + b**2 + 6*b + 4. Let y(k) = -5*k**3 - k**2 - 13*k - 8. Let s(x) = 7*q(x) + 3*y(x). Let d be s(6). Let u = -35 - d. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 25 = -3*h. What is the remainder when 13 is divided by (6 - h) + 8\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -7*g**5\/2 + 119*g**4\/6 - 132*g + 2. Find the third derivative of i(r) wrt r.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 68. Suppose -11*y + 26*y = -45. Which is greater: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 16 = -2*m. Let j = -8 + m. What are the prime factors of ((-15)\/1)\/(6\/j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*6\/(-6)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(3\/2))\/(v\/v**(-3\/10))*v**8*v**(-5)\/v assuming v is positive.\nAnswer: v**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 25. Let l = v + 45. Let d be (-3)\/(3 - 0)*-24. What is the highest common factor of l and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 468.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 b when three letters picked without replacement from {b: 7, c: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + (1 - 10 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -109*o + 72. Let i be x(-14). What is the highest common divisor of 94 and i?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 3*l - l**4 - 5*l**4 - 2*l**4 + 5*l**4 + (1 - 3 + 1)*(-5*l**4 + 3*l**4 + l**4).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -438, -971, -1706, -2637?\nAnswer: -3758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -11. Suppose 3*f = 15, -142 = -z*u + 2*f + 48. Calculate the remainder when u is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124176 and 220293?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 1 = 2*c. Suppose 0 = z + c*z + 225. Is (-15)\/(-6)*(-470)\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -10*l**4\/3 + 2*l**3\/3 - 7*l**2 + 3*l - 14. Let g(q) = -4*q**2. Give g(x(d)).\nAnswer: -25600*d**2 + 2560*d - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -211.9847 - 0.0153. Let w = 211.2 + g. Round w to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*k**2 - 4441*k + 4440*k + 70*k**2)*(377*k + 12*k + 216*k + 146*k - 55*k).\nAnswer: 62640*k**3 - 696*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + 3 + (7 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*3)\/((1 + 5)\/12). Suppose -13 = -w*o + 5. Let s be ((-19)\/21)\/(o\/9). Which is smaller: -3 or s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 278595 or 278596?\nAnswer: 278596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 36. Calculate the highest common factor of 96 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/9*(-5)\/(-10)*-3. Find k, given that 0 + 7\/4*k**4 - 15\/4*k**3 - 1\/4*k**a + 9\/4*k**2 + 0*k = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Suppose -4 = -t*n - 4*n. Suppose -j - 1407 = -9*o - 1339, 5*o - 35 = 0. Put j, -4, -1, n in decreasing order.\nAnswer: n, -1, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201303033 (base 4) to base 14\nAnswer: 38651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.2 - 6.2. Put -2\/25, h, -0.3 in descending order.\nAnswer: h, -2\/25, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146 (base 15) to base 2.\nAnswer: 100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 2*i = -51, 24*u - 25*u - 51 = 3*i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + ((2*sqrt(4) + sqrt(4))*2 - sqrt(4))\/sqrt(2))*-2.\nAnswer: -10*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*((-1)\/3)\/(-8 + 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/5 and 43\/25121.\nAnswer: 125605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30230220 + -12?\nAnswer: -30230232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13874 - -19465. Let c = -2668 + h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12183 and 1834.\nAnswer: 170562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/(43\/(-129)). Which is the fourth smallest value? (a) z (b) -1\/9 (c) 3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.17*-4.\nAnswer: 4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979500881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + -1.5. Let c = -89 - -56. Let n = 30 + c. What is the biggest value in n, h, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f - 16. Let g be b(7). Suppose -5*u - 16 = -2*u - 4*j, 3*j = 5*u + g. What is the second derivative of 0*o**4 - 2*o + 6*o + 4*o**4 + u*o wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a factor of 10935954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10600, 10598, 10596, 10594, 10592, 10590?\n\"Answer: -2*d + 10602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1085*r**5 - 3*r - 5735?\nAnswer: -21700*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -2.717, 0.5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -6. Suppose -5*y = 2*a - 25, -19 = -h*y - 3*a + a. Find the third derivative of -2*z**2 - 3*z**2 + z**y + 7*z**6 - z**3 wrt z.\nAnswer: 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1227*t + 3615*t - 1232*t - 1205*t.\nAnswer: -49*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 3*v**4\/4 + 5*v**3\/2 - 12*v**2 + 2532*v. Let b(a) = 2*a**2 + 4*a - 6. What is 15*b(t) - 4*o(t)?\nAnswer: -6*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 10. Let y be p(4). Let n = y - -25. Let k(z) = z**3 - 3*z**2 + 2*z - 1. Give k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69 - 56?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1517.\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unum when four letters picked without replacement from {n: 2, m: 4, u: 2, b: 1}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 4:45 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 34*w - 288. Calculate k(24).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7520016 = 278*q + 58*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4595*r + 4305*r - 20300 = 0 for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*n - 16, 3*n = -0*n + a + 7. Suppose 0 = -4*j - n*c + 37, 0 = -5*c - 1 + 16. What is the derivative of -1 - 4 + j + 6 - 10*o wrt o?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 5. Let i = 109 - 90. Let f be (-2)\/i + 2231\/437. Let h(d) = -2*d - 6. Give f*h(m) - 6*j(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (1 + sqrt(832))*4)*-2)**2 + (sqrt(117) + 2*sqrt(117) + -4 - sqrt(91)\/((sqrt(7) - sqrt(112))*1)).\nAnswer: 3868*sqrt(13)\/3 + 53344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*t + 1 + 6, -4*t + 3*c + 5 = 0. Let j = t + -5. Let a = -2 - j. Is a smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 3322320130220?\nAnswer: -3322320130223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72633, -290542, -653723, -1162176, -1815901?\nAnswer: -2614898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23055129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46794 + 46792. Let g(b) be the first derivative of -3*b**4\/4 - 2*b**3\/3 + b**2\/2 - b - 1. What is g(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 52. Solve -3*p = -5 - a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-5 + -46 - 8 - -7)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r + 145. Does 40 divide q(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -46) + -9 + 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(99)*-1)**2.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 2. Let i(w) = 5*w - 4. Suppose 3*j = -3*g + 2*j - 27, -18 = 2*g + 5*j. Give g*v(a) + 4*i(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/12927815?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 5:48 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**2\/2 + n - 3. Let f be a(1). Does 21 divide f + (0 - (2 - 21))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 12999206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, p: 1, a: 5}. Give prob of sequence sp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 588.74067 hours?\nAnswer: 3.50440875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**4 + 42*t**3 - 106*t**2 + 48*t + 56 = 0.\nAnswer: -1\/2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2987 + 2122. Suppose -5*t = -z - 13481. Suppose 0 = -5*x - d + 3716, -t = -x - 4*x - 3*d. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 7*u + 9*u)*(-2 - 5 + 4)*(4*u**4 - u**4 - 2*u**4).\nAnswer: -39*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -7 + 1 + 4 + 2 + 1 + 4*h. Let r(d) = 12 - 6 + 5 + 17*d - 6. What is 9*p(g) - 2*r(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 44 = 3*d - 2, 4*d = -y + 29. Let z(l) = -l**3 + 18*l**2 - 17*l. Let u be z(y). Suppose 2*g + 28 = 4*b, 17 + 0 = -3*g + b. Sort -5, u, g.\nAnswer: -5, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 199992.3 + -200025.09756. Let l = 32.8 + j. What is l rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + 5*n**2 + 7*n + 1. Let r(j) = -j**2. Give h(w) + 5*r(w).\nAnswer: 2*w**3 + 7*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + 13 + -14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -22*m**2 + 223*m - 25. Let s be l(10). Let q(g) = 6*g**2 - 31*g + 4. What is q(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*w = 9754522 - 1851056 + 7788579. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 4 = 4*l, -2*l - 10*h + 8*h = -10. Calculate the remainder when 7444 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**2 + 0*n**2 - 2*n**2 + (-n**2 - 2*n**2 + n**2)*(-3 + 0 + 4) - 7*n**2 + 11*n**2 - 25*n**2 to the form k + m*n**2 + c*n and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1146 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/33994 and 13\/305946?\nAnswer: 305946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 15 + 5 = 8*w, -40 = 40*x - 10*x + 4*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 4) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(r**(-1\/4)\/r))\/r)**(1\/4)\/(r*r\/r**(-1\/4)*r**7)*(r**(-5)\/r**(-3))**(1\/23) assuming r is positive.\nAnswer: r**(-3229\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2) + 20 + 258. Let f be (-4)\/(-10) - m\/(-10). Let d = f - 25. Solve a - 7 = 3*y + 5*a, d*a + 6 = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 1. Let l be 1\/2 - 1\/2. Let g = 1\/2 - l. Which is smaller: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6042870161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*((-18)\/(-22))\/((-99)\/(-66))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -680.91 - -685. Let s = b + -0.09. What is the second biggest value in 5, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 15 = 0. Solve 6*g - 2*g + 8 = 2*l, -z*g - 10 = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*(-2 + sqrt(637)) + -1)**2.\nAnswer: -504*sqrt(13) + 10270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13243 + 13243 - 8*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 12. Suppose -15 = -2*m - 3*m. Solve m*c - 6*u + 2*u = -29, -t*u + 3 = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14\/57 + 4\/171. Which is the third smallest value? (a) -3 (b) -5 (c) q (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.2 (c) -3 (d) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**5 - f**4 + f**2 - 2*f - 1. Let j(y) = -7*y**5 + 6*y**4 + 215*y**2 + 10*y - 9. Let v(p) = -6*a(p) - j(p). Find the second derivative of v(g) wrt g.\nAnswer: 20*g**3 - 442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (sqrt(3) + -3*sqrt(3) + -5)*1)*-3.\nAnswer: -42 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 9. Let w = t + 6. Let g(a) = a + 2. Give g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:20 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 615 - -10272?\nAnswer: 11107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149149 and 728?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 39. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 + 103. Suppose 5*x = 2*x + u. Suppose 2*a = 6*a + 4*f - 48, -4*a - 2*f = -x. Calculate the remainder when 49 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/440*-12)\/((-3)\/(-24)*6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9324, -9325, -9326?\n\"Answer: -r - 9323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.8, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 33 + 17 = 0. Suppose l - 18 = -c*l. Solve 2*u - l = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-3 - -7) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 293466792 divided by -3\nAnswer: -97822264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 13*w + 2. Let q be h(3). Let o = -5 + q. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, w: 6}. Give prob of picking 1 l and 3 w.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 + -3) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73416 divided by 23.\nAnswer: -3192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 - 7*y**2 + y**2 + (5*y + 0*y - 3*y)*(-y + 2*y + y) + y**2 + y**2 - 4*y**2 - 3*y**2 + 4*y**2 + 3*y**2 as p*y**2 + d + t*y and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 8, 4, -1, 61 in decreasing order.\nAnswer: 61, 8, 4, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/1288, 0.4, -0.11, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 10*r**2 - 10*r + 7. Calculate x(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3121234 (base 5) to base 14\nAnswer: -14a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110111 (base 2) to base 10.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*u + 2. Suppose 61 + 3 = u*i + 3*h, -48 = -3*i + h. Let w(d) = -21*d**3 + d**2 + d + 1. What is the least common multiple of w(-1) and i?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 13*d**2 + 12*d + 11. Let t = 176 + -164. Calculate p(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.35, -3, -4\/7, 0.2, 8001 in ascending order.\nAnswer: -3, -1.35, -4\/7, 0.2, 8001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b. Let l(u) = u - 1. Let i(q) = 3*q - 4. Let k(j) = -i(j) + 4*l(j). Determine h(k(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p + 21. Solve p = -3*d + 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 18. Let k = n - 9. What is the second smallest value in -0.2, k, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j + 132 = 70*j - 27*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -23164, 1957, 3, 0 in descending order.\nAnswer: 1957, 3, 0, -2, -23164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -179\/265 + 4\/53. Which is greater: w or 0.51?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -1. Which is the nearest to -1? (a) s (b) 2\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*k - 211*k - 2*k + (0 - 4 + 3)*(2*k + k - 2*k) + 0*k + k + k - k + 4*k - k to i*k + w and give i.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 171?\nAnswer: -16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -371 - -6305\/17. Let v = -37 + 147\/4. Which is the biggest value? (a) v (b) -0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265099\/643625 - -20\/5149. Find the common denominator of 26\/45 and p.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/15)\/(-4*(-2)\/(-544)) and 59\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 4*w**2 - 6*w + 10. Let d be u(3). Let p be (d\/(-3))\/(1\/3). Which is smaller: p or -0.17?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -21*i - 1. Let r be 11\/(-3) + 4\/(-12). Is a(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/6818505 and 37\/12?\nAnswer: 27274020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*l - 36 = -14, 5*l = -3*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7571 and 1469?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 257953\/3179 != 81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7441417 to the power of 1\/2, to the nearest integer?\nAnswer: 2728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 68*m - 1079. Give u(-22).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40034 - -2327. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2694122.54 to the nearest ten thousand.\nAnswer: 2690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/21*1*(156\/24 - 6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 1 + 2 + 0*a + a - 4. Let b(w) = 10*w - 12. Let r(q) = -b(q) + 12*v(q). Let z(d) = 3*d**2. What is z(r(o))?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -328.3 and 18.5.\nAnswer: -6073.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 2*l**2 + l. Let o(a) = -2*a**3 - 26*a**2 - 2*a + 1. Determine -3*g(v) - o(v).\nAnswer: -4*v**3 + 20*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*p + 45*p - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2959469 is divided by 1543.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11*a**3 + 11*a**2 + 5*a. Let o(i) = -12*i**3 + 12*i**2 + 6*i. Let h(j) = -5*o(j) + 6*p(j). Find the third derivative of h(w) wrt w.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l. Let m be (4 + -8)\/1 - -9. Let d(z) = -z + 2*z + m*z. Determine d(x(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 21.7, 3, -2 in descending order.\nAnswer: 21.7, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -0.038?\nAnswer: 0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323899 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/6)\/(2\/6). Let b = 79404\/53 + -1498. Let r = 239\/424 - b. Is f equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*x - 23285 = 150*x - 3*g, -2*x = g - 23275. What are the prime factors of x?\nAnswer: 5, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 757965.348 to the nearest 100.\nAnswer: 758000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Let y(t) = 0*t**2 + 28 + 3*t - o*t - t**2. Is 14 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -389*g + 31550. Give a(81).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.166*4059\nAnswer: -8791.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3256 and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -186145408.1 and -4?\nAnswer: 186145404.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8391 - -8387.969. Which is the second biggest value? (a) g (b) 6\/7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -454, -460, -468, -478, -490, -504, -520?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12469.1 + 12461. Which is the nearest to -2\/7? (a) -2\/87 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 8:49 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 16) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663187381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1090.167 and -0.1693073.\nAnswer: -1090.3363073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -1\/6*j**3 + 0 + 3\/2*j**2 - j. Let f(a) = -4*a**2 + 2*a - 1. Let d be f(1). Give n(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 5, -3, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3744 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2500.9 minus 507077?\nAnswer: -509577.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.168 times 45?\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -37\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k + 1. Let h be o(3). Let a be 4*1 + 16\/h. Solve 2*w + 5 - 17 = b, 0 = -2*b - a*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 70. Calculate the highest common factor of a and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8*j**3 + 4 - 10 + 7.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oogr when four letters picked without replacement from {b: 1, o: 3, t: 3, l: 2, g: 3, r: 4}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 8*m + 10. Let x be s(-9). Is x\/(-2 - 526\/(-262)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1840, 3937, 6338, 9043, 12052?\n\"Answer: 152*h**2 + 1641*h + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - 33) + (4 - ((-6 - -12) + -5)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*v**2 - 3*v**3 - 10*v**2 + 6 + 2*v**2 wrt v?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 3, 10, 19, 30?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3)*((m*m**(-4\/3))\/m)\/m)\/((m**3*m*m*m)\/m**3))\/((m**(-1\/5)\/m)\/m**5)**(2\/21) assuming m is positive.\nAnswer: m**(-533\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*y - 18 - 0, 6 = 3*x - y. Find the third derivative of -9*f**2 - f**3 - 9*f**6 + f**x + 28*f**2 wrt f.\nAnswer: -1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/13 (c) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64734870 divided by -3.\nAnswer: 21578290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, c: 5, u: 2, p: 4, v: 2}. Give prob of picking 2 p.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8)*l**(8\/3)\/l assuming l is positive.\nAnswer: l**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let l(b) = -b**3 + 7*b**2 + 9*b - 6. Let y be l(8). What is the remainder when (-9)\/(-6)*2 + 40\/10 is divided by c(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-256)\/28)\/(-4))\/(1\/(-18)). Which is smaller: -41 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 6. Let a = -1 + i. Determine w so that -1\/3*w**3 + a*w - 4\/3 + w**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3806, -16881, -38664, -69161, -108378, -156321?\nAnswer: -212996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 111 (b) 16 (c) -1.202 (d) 5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37 + 0*i - 25 + 13*i - 5*i**4 + 12*i - 83 wrt i?\nAnswer: -20*i**3 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/((sqrt(60)\/sqrt(3) - sqrt(20) - sqrt(20))\/sqrt(5)))\/(sqrt(605)*-1 - (sqrt(5) + sqrt(315)\/sqrt(7))).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1542 + -538. Suppose 4*v - y = 2*v. Is (36\/(-24))\/((-3)\/v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*y + y + 7, 4*u - 2 = 2*y. Calculate the common denominator of ((-6)\/y)\/(28\/(-95)) and 87\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2666 - -11?\nAnswer: -2655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-336)\/7812*-403*6\/4\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 5:01 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 23. Let u be (-6)\/h + 9*(-123)\/(-45). Suppose 0*b = -i + b + u, -111 = -5*i + 2*b. Calculate the greatest common divisor of 84 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4007.3554 + 4007. Round p to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 8 + 7 - 7*l + (-2 - 4 + 5)*(-3*l - 3*l + 8*l).\nAnswer: -9*l - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 532, -3, -1\/3, 0.01?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 4. Let n be x(0). Suppose 3*r - n*r - 3*r = 0. Solve r = -2*p - 2 + 6, -3*f - p = -17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22140c1 (base 13) to base 2.\nAnswer: -100111110011010010101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -2\/20735703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -2*f**6\/15 + 19*f**5\/2 + f**3\/6 - 158*f**2 - 105*f + 3. What is the second derivative of y(r) wrt r?\nAnswer: -48*r**2 + 1140*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 5) + (3 - (-11 + -29 - (12 + -6)))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -1\/40*b**5 - 1\/8*b**4 - 1\/4*b**2 + 0 - 3*b - 1\/4*b**3. Factor j(i).\nAnswer: -(i + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -9*o + 37. Let m be (-39)\/13 + (-1 - o). Solve -28\/15*c**3 - 2\/15*c**5 + 4\/5*c**4 + 32\/15*c**m - 6\/5*c + 4\/15 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 16*b. Let l(k) = 35*k. Determine w(l(m)).\nAnswer: 560*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*v + 5 + 3 = 0, 0 = 5*f + 5*v - 10. Suppose f = 2*q - q - 3*y - 507, -4*q - 2*y = -1972. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpl when three letters picked without replacement from {a: 3, l: 2, p: 2, k: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.477932.\nAnswer: -0.1911728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 939197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 20424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = -v, 0 = 2*i + 4*v - 0*v + 14. Solve 3*g - 1 = -3*p + 5*p, -4*p - i = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 151059977 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08 - -0.17. Let s = -91\/124 + 15\/31. What is the second smallest value in b, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -70*q**3 - 15*q. Let b(g) = -10*g**3 - 2*g. Give -30*b(w) + 4*i(w).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by 4\nAnswer: 133\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t - 4. Let n(j) = 11*j + 7. Let o(k) = 7*d(k) + 4*n(k). Let c be o(-2). Let y be (-1 + 0)*(2 + c). Solve -w = -0*w + y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 0 + 0.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*z - 41*i**3 - 10*i**2*z - 11*i**2 wrt i.\nAnswer: 6*z - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 - 1 - 7*v**3 - 2*v**3 + 4*v**2 + 2 - 3*v**2 to x*v**4 + s + b*v + n*v**2 + g*v**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -16220245 to the nearest 10000.\nAnswer: -16220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 756898936 + -1228436.\nAnswer: 755670500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1020 and 6?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 2*a**2 + 3*a + 2. Suppose -2*h = -0*h + 8. What is the smallest common multiple of l(3) and -2*(-1)\/h*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(972) - (sqrt(972) + (sqrt(972) - (sqrt(972) + -2*sqrt(972))) - sqrt(972)))\/(sqrt(54)*3).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 44, 7, 4 in increasing order.\nAnswer: 1, 4, 7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3)\/m)**(-14)\/(m**(-5\/4))**13 assuming m is positive.\nAnswer: m**(419\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2. Let s(m) be the first derivative of 386*m**2 - 2670. Determine k(s(p)).\nAnswer: 595984*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**2 + 219*n - 1478. Give s(7).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -c + 14, -5*c - 2*n + 42 = -2*c. Suppose -8*l + 25 = -199. Calculate the greatest common divisor of l and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49954?\nAnswer: 2, 24977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**6\/360 + n**4\/24 + n**3\/6 - 2*n. Let w(s) be the second derivative of g(s). Factor w(k).\nAnswer: -(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by -32\nAnswer: -53\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*c + 6 = 0, s - 2*c = 2*c + 2. Solve -s*x - 3*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -92.55. Let x = -1.55 + i. Sort -3\/7, 5, x, 1\/4 in descending order.\nAnswer: 5, 1\/4, -3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u**2 + 10*u. Let r(f) = 26*f**2 + 29*f. Determine -17*m(k) + 6*r(k).\nAnswer: 3*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + -108. Let v be (58\/l)\/((-1)\/5). Solve 0 = -v*g - 5*k - 23, -3*k - 9 = g - k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 9 - 2) + 100 + -108?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 10*j**2 - 11. Let k = 652 + -662. What is n(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 639 + -625. Solve v*z - 6 = 17*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, t: 2, b: 12, j: 1}. What is prob of picking 2 b?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2200 + 102?\nAnswer: 2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 79. Let w be 4\/(x\/(-4) + -2). Solve 3 = s - w*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from yyu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + -1 - 7 - (-27 + -7 - 11)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -223800 rounded to the nearest 1000?\nAnswer: -224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - m - 13, -2*x = 3*m + 274 - 245 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -548 divided by -5.\nAnswer: 548\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 + 0.01. Suppose -5*y + 13 = -0*q + 4*q, 0 = 5*y + 2*q - 9. Which is the biggest value? (a) y (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4541, -8976, -13313, -17558, -21717, -25796?\n\"Answer: -g**3 + 55*g**2 - 4593*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 40 = 2*c. Let f(t) = 6*t - 4. Let x be f(c). Suppose 160*k = 145*k - 883 + 3523. Calculate the highest common divisor of k and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 6:03 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 11*g - 10. Let s be f(1). Suppose 0 = -t - 138 + 137. Which is the closest to t? (a) 0.2 (b) 114 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i + 510 = 51*i. Calculate the highest common factor of i and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u - 267 = 0. Suppose u = 2*k - 35. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -575423 - -2?\nAnswer: -575421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 27*o - 3186 = 1889. Which is smaller: o or -63?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1216940581 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 169, 385, 697, 1111, 1633, 2269?\nAnswer: 3025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73a (base 12) to base 6.\nAnswer: 4514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 6:47 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 6, q: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -2, -3, 21, 4, -8, -24 in increasing order.\nAnswer: -24, -8, -3, -2, 4, 14, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 2*b**2 - 5*b + 5. Let d be h(4). Let v = d + -5. Calculate the remainder when 21 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011111010 + 101?\nAnswer: -111011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -126 - -396. Let p = 264 - a. Let j(r) = 3*r + 4. Let z(q) = -5*q - 10. Let b(u) = 5*u + 9. Let x(d) = 3*b(d) + 2*z(d). Calculate p*x(i) + 11*j(i).\nAnswer: 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3791 less than -3791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22 + -0.12. Let p = 77 + -75.05. Let w = p + 0.05. Put w, j, -4\/7 in descending order.\nAnswer: w, j, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 12*q**4 + 13\/42*q**7 + 7\/30*q**6 + 0*q**5 + 1\/6*q**3 + 5*q + 9 + 0*q**2. What is the third derivative of d(r) wrt r?\nAnswer: 780*r**2 + 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/5 + 308*c**4\/5 + 8214*c**3\/5 + 73476*c**2\/5 + 136512*c\/5 - 637632\/5 = 0 for c.\nAnswer: -123, -12, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.2, -2\/9, -1, 3255?\nAnswer: 3255","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.07 - 0.57. Which is the second biggest value? (a) -2\/13 (b) -5\/6 (c) s (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 6*f**2 - f + 8. Let y be z(6). What is the first derivative of y*m**3 + 0*m**3 + m**3 + 5 wrt m?\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4121131 (base 6) to base 16\nAnswer: 3028f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 678281677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 16*d + 62. Let t be (-1*(-8)\/(-16))\/(2\/4). Let x(h) = 13*h**3 + h**2. Let c be x(t). Let a be y(c). Which is smaller: 53\/4 or a?\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5508, 0.2, 0, -0.1 in ascending order.\nAnswer: -5508, -0.1, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -120131?\nAnswer: -120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = 76. Let y be 1*-2 - (-9 + 5). Suppose 2*i = -u + 6, y*i + 1 = u - 5. What is the lowest common multiple of u and t?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 8\/5 (c) -4 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -356*z + 2136. Let x be v(6). Let f(l) be the second derivative of 0 + 24*l + 1\/36*l**4 + x*l**2 + 2\/9*l**3. Suppose f(m) = 0. Calculate m.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 1. Let c be n(-9). Let s = 5 + -2. Suppose o = s*o - c. What is the highest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.878265 rounded to zero decimal places?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-604)\/(-30) + 8\/(-60). Solve -3*v + 4*y = h, 11 - 1 = 4*v + 2*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 12 - 8\/3*f**3 + 5\/2*f**2 + 0*f. Find the second derivative of y(s) wrt s.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128\/381 - 1\/381. Which is smaller: y or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*o - 3*h + 3, 2*o - 3*h + 4 = 0. Let y = 0 - o. Let i = 18 - y. Solve 2*a = 2, 3*z + a - i = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -8. Which is smaller: h or 4\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**3 - c**2 + 2*c. Let y(f) = 10*f**3 - 4*f**2 + 7*f. Suppose -26 = 4*l + 30. Determine l*g(p) + 4*y(p).\nAnswer: -2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -240 (c) 987 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -57. Let r be (6 - g - (1 - 4))*-2. Sort 1, 4, -1, r in increasing order.\nAnswer: -1, 1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 2 + -11 - (71 + -97)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861752849 a multiple of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -522.74 to the nearest ten.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:58 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2. Let g(b) = b - 1. Let a = -8 + 14. Let n(w) be the third derivative of -w**4\/6 + w**3 + 7*w**2. Let f(v) = a*g(v) + n(v). Determine o(f(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1872*n - 60*n**2 - 129*n**2 - 1872*n.\nAnswer: -189*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 333.542 - -7.5.\nAnswer: 341.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 49, 3?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53064 and 2995740.\nAnswer: 401429160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -498.203046 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -2021310312213?\nAnswer: -2021310312202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Let u be (-13)\/(-3) + m + 9\/(-27). Calculate the greatest common factor of u and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 4, -1 in ascending order.\nAnswer: -8, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3717 - -7437\/2. Sort 7\/2, -1, z, 0.03.\nAnswer: -1, 0.03, z, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 - 3*k + 3. Let a(d) = -d - 6. Let x be a(-8). Let n be i(x). Find the third derivative of 17 - 3*m**4 - n - 4*m**2 + 4*m**4 wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 10:46 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 8. Let k be -1*2 + 0 - -2. What are the prime factors of c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 13. Suppose 0*w + w + 12 = -3*k, 4*w - 32 = 4*k. Suppose w + 17 = 4*a. Solve 0 = -i*f + a + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -267 - -267. Let d(c) be the second derivative of -4\/105*c**6 + 3*c + 0*c**3 + 0*c**2 - 1\/42*c**4 - 1\/14*c**5 + s. Factor d(n).\nAnswer: -2*n**2*(n + 1)*(4*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 647 divide 1268767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l**3 + 28*l**3 - 82*l**3 - l**2 + 24*l**3.\nAnswer: -7*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 35*p**2 - 14*p - 155. Determine f(-35).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m**2 + 42*m. Let j(q) be the first derivative of -7*q**3\/3 + 21*q**2 + 28. Let u(c) = 6*h(c) - 5*j(c). Find the second derivative of u(r) wrt r.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t = -9637 + 2667. What is the highest common factor of t and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939 != 938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*a + 4*a. Calculate the smallest common multiple of 3 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**4\/24 - x**3 + 6*x**2. Find the first derivative of a(m) wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1. Let a(y) = -10*y + 9*y - 311 + 308. Let i(q) = 3*q - 1. Let s be i(2). Calculate s*t(j) + a(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l. Let a(h) = -6*h - 2. Let f(q) = 2*a(q) + 10*c(q). Let m be f(4). Let u = m + 16. Solve u*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**3 + 5*b**2 + 27*b + 6. Let q(z) = -16*z**3 + 10*z**2 + 57*z + 13. What is 9*c(v) - 4*q(v)?\nAnswer: v**3 + 5*v**2 + 15*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*4*18\/(-24). Let j(t) = -t**2 + 4*t - 3. Let w be j(y). Let n = w - -7. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1294 + -1314 - (11 - 51)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090174534 to the power of 1\/4, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -2*1\/2 - 3. Let a(w) be the third derivative of -1\/30*w**5 + 0*w**3 + l*w + 2*w**2 - 1\/60*w**6 + 0 + 1\/6*w**4. Factor a(m).\nAnswer: -2*m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -y - 408, -14*s + 16*s + 8 = 0. Let a = y + 394. Solve -5*f + 6 = -a*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 + 139 = 5*z. What is the remainder when z is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3519 at least -91479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24135085?\nAnswer: 5, 13, 151, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.14734 times -439\nAnswer: -64.68226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -17. Let u = -18\/25 + 147\/100. Sort -0.4, u, j.\nAnswer: -0.4, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29634 divided by -1.\nAnswer: -29634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 310 and 6?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11213 (base 6) to base 3.\nAnswer: 2012000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -98. What is the remainder when 107 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462666157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/9803087?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {c: 3, r: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -905\/2 + 453. Which is the nearest to -4? (a) y (b) 2\/3 (c) -5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-84 - (44 - 22))) + 8.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1758507114?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbbbbbtt. Give prob of sequence bbt.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a + 0*a)*(-6 + 2 + 0)*(6 - 7 + 3).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49988.\nAnswer: 2, 12497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 3:42 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*o - 3*w + 22, 7*w + 17029 - 17020 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/8 and -49\/51172176.\nAnswer: 51172176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/135*-18*5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 37, -661?\nAnswer: -661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((0 + sqrt(567))*-3)**2*-3 - 1*((sqrt(567) - 4*(0 + sqrt(567)))**2 + sqrt(567))) + 0.\nAnswer: -20409 - 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 117 = -612. Suppose -5*g - n = -z, 2*n - 120 = -5*g + 126. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223225464 a multiple of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 12. Give q(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1473 + -402. Suppose 0 = 3*x + 3*c - 774, -38 = 4*x + 3*c - o. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119373 + 79*q - 59698 - 59664.\nAnswer: 79*q + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 12, 180*t = -4*y + 179*t - 6. Sort -1, -23, 2, -4, y in decreasing order.\nAnswer: 2, -1, y, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (696\/(-64))\/(3\/(-172)). Let p = h - 5927\/10. Let a = 31 - p. Is 1\/6 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1297 - 1220. Calculate the remainder when 1767 is divided by k.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35.999 - -36. Let r = y - 0.00125. What is r rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5*h + 71 - 46, 3*h + 27 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80427, 80402, 80367, 80316, 80243, 80142?\nAnswer: 80007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = a + 3*h - 5, 2*a = h - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -557149*p - 4. Let d(g) = 10*g. What is f(d(y))?\nAnswer: -5571490*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 2 + (-8)\/(-4). Suppose r*t - 6*t + 22 = 0. Find the second derivative of -6*i + t*i**2 + 7*i - 9*i**2 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*j - 3 = 0, -3 = 369*c - 366*c + 4*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 12 + 3. Suppose -t*h - 2*h = -25. Suppose 2 = -3*o - 7. Put -2, h, o in decreasing order.\nAnswer: h, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1339*c = 640*c + 641*c + 1044 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**2 + 9 + t - 9 - 9*t**2 to the form n*t**2 + z + i*t and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + -11)\/(2*11). Which is the second biggest value? (a) q (b) 13 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-23)\/(-4))\/((-4)\/(-48)). Let q = o + -3. Suppose 255 = 4*y + z, -y + 5*z - 3*z + q = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -107 in descending order.\nAnswer: 8, 5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from rorrrofffseffo?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -58, -2\/3, 24, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 74\/(-10) - (-6)\/15. Let f(h) = h**3 + 6*h**2 - 6*h - 5. Let x be f(t). What is the units digit of (-21)\/x - 1\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 + 0*f**2 - f**2 + (16402*f + 16406*f - 1792 - 32809*f)*(-3*f + 3*f + 2*f).\nAnswer: -f**2 - 3584*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32098*w + 32103*w - 11600 = 0. Is 20 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*3\/(-18))\/((-4)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41.89 * 3\nAnswer: 125.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 88\/3, -3\/29, 13, -3, -0.4, 0.4 in descending order.\nAnswer: 88\/3, 13, 0.4, -3\/29, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7296 and 380808?\nAnswer: 115765632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - o + 30. Let l(b) = -19*b**2 - 3*b + 990. Let i(y) = -l(y) + 6*p(y). Find the first derivative of i(u) wrt u.\nAnswer: 26*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**5\/2 + 2919*c**4\/2 + 362499*c**3 - 294573*c**2 - 3553506825*c\/2 + 89884261875\/2 = 0. What is c?\nAnswer: -475, -97, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(q - 5*q + 0*q)*(-4 + 4 - 2*q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.58, 5, 2\/1675 in increasing order.\nAnswer: -1.58, 2\/1675, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 7\/(-91) + 2020\/65.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2351?\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.08271g in kilograms?\nAnswer: 0.00408271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1 (c) -468.867 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7834038*o + 12627297.\nAnswer: 7834038","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*d + 36, f + d + 8 = -0*d. Let a = f + -2. Does -5 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -267.1 + 267. Sort t, 0.1, -1\/5 in increasing order.\nAnswer: -1\/5, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d*d**(-22))\/(d*d*d*d**(-8)*d*d*((d\/d**(-2))\/d)\/d) assuming d is positive.\nAnswer: d**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 10:19 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 - 4*y - 4. Let x be o(-2). Calculate the remainder when -3 - 3\/(3\/(-16)) is divided by (9 + -11)\/(x\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -3 (c) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177.76 + -174. Let a = 0.24 + h. What is the third biggest value in a, -0.4, 1.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0271 - 0.0774. Let m = h + 0.002. What is m rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4 - 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6590053230?\nAnswer: 2, 3, 5, 17, 12921673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1485*-7.\nAnswer: 10395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 1 + 31. Suppose n = -3*f + 7 + 26, 0 = -2*n + f + 45. Calculate the highest common divisor of n and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5*l + 16 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*(9\/15 + (-14)\/40). List the prime factors of (g - -340) + 2\/(4\/10).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 9 = 75. What is the least common multiple of a and 2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) 1\/14 (c) 5 (d) -1.11 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -96 + 54. Let w(f) be the second derivative of -f**4\/12 - 5*f**3\/3 - 21*f**2\/2 + 5*f. Let u be w(p). Solve 0 = -u*b + b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**3*p\/((p**(2\/13)*p)\/p)*(p**(6\/13))**(-14\/9))**(-29) assuming p is positive.\nAnswer: p**(-4669\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6875 and 715.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f**4 + 3*f**2 - 3*f**2)*(57 - 47 - 48) as v*f**4 + g + z*f**2 + k*f + t*f**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.8 (b) -2\/5 (c) -2 (d) -1 (e) 93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 11. Suppose 3*u = -5*b - 37, -b - 2 - 8 = -2*u. Let r be v(b). Solve -5*f - 40 = -5*g, 2*g - 24 = r*f + f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -29*d + 6109. Let j(h) = -31*h - 2. Give j(z) - l(z).\nAnswer: -2*z - 6111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2334a (base 13) to base 3\nAnswer: -10021011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*i - 10 - 16 = 0, -2*i - 28 = -2*t. Let q = 12 + -10. Suppose 25 = q*n + 2*y - 7, 3*n - 32 = y. What is the smallest common multiple of n and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246\/(-5)*(-38595)\/23157?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.29 + 0.253. Let s = -2.037 - r. Which is bigger: -14 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 57*x - 69*x**4 - 2*x**3 - 41*x**4 + 2*x**3 + 113*x**4 to h*x**2 + l*x + n*x**4 + r*x**3 + v and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 513, 0, -5 in ascending order.\nAnswer: -5, -3, 0, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 548428 divided by -4.\nAnswer: -137107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxxx. Give prob of picking 3 x.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 7*c**2 + 3*c - 14. What is d(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1933277 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -14*t + 0*t**2 + 19\/30*t**6 + 0*t**3 + 7\/12*t**4 + 0*t**5 + 0. Find the third derivative of y(u) wrt u.\nAnswer: 456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.8 - -2.8. What is the closest to j in -2\/15, -0.3, 0.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61212 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -1\/90*m**6 + 1\/20*m**5 + 1\/3*m**2 - 1\/6*m**3 + 45*m + 0 - 1\/36*m**4. Factor d(x).\nAnswer: -(x - 2)*(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -2 + 0*l**3 + 1\/18*l**4 + 0*l - 1\/2*l**2 + 1\/10*l**5. Let w(r) be the second derivative of t(r). Factor w(h).\nAnswer: 2*h*(9*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1761*r - 131*r + 266*r.\nAnswer: -1626*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.030865?\nAnswer: -0.154325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*3*((sqrt(112) - (-2 + sqrt(112) + (sqrt(112) - (0 + sqrt(112))))) + (sqrt(112) - (2 + 0 + sqrt(112)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 13*n**2 + 9*n - 16. Let q be m(-12). Solve 3*b + b - q = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 14. Suppose -5*i = -37 - 18. Suppose 5*l = -4*q + 19, 2*q + i = 4*q + l. What is the smallest common multiple of w and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11358 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15782*q = -15783*q + 12*w - 447, -2*q = -w + 43 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - 2?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddrddrdddddrddd. Give prob of picking 3 d.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(567) - (0 + sqrt(567)))*-4 - ((sqrt(252)*-2 - (sqrt(168)\/sqrt(3))\/sqrt(8))*4)**2.\nAnswer: -18928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 - v - 1. Let m be f(3). Let k = m + -16. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.962 + 0.038. Let l = -1 + 2. Which is the biggest value? (a) -5 (b) l (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 274.4 + 293.8. Let f = r - 562. Is 3\/2 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 113796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1553 - -2202. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 114347*f**2 + 228691*f + 114345.\nAnswer: (f + 1)**2*(f + 114345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377295 is divided by 4601.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -60756bc?\nAnswer: -60756c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -139*s**3 - 7*s**2 - 9*s + 149. Is 18 a factor of i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108652 divided by 46\nAnswer: 2362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -5, -2195 in decreasing order.\nAnswer: 5, -4, -5, -2195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -74*f. Let w(o) = 6843186*o**2. Give w(l(h)).\nAnswer: 37473286536*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wywwnkkkynkykwnnrwn. Give prob of picking 2 y and 2 n.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4195 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -5, -2\/1991, 271\/22, 4?\nAnswer: -2\/1991","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000112 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, h: 1, j: 1, p: 5, i: 1}. Give prob of sequence jip.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (-7 + 315\/27 - 16\/(-12)). Let 1\/5*s**y - 2\/5 + 1\/5*s = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29921 = 2*q + 4741 - 3876. List the prime factors of q.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33198127*k**5 + 9310931*k - 1?\nAnswer: 663962540*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - 237 - 2*u + 3*u**2 + 4*u + 10*u - 7*u + 36*u**4 wrt u.\nAnswer: 432*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-4) + 6\/18. Which is the third biggest value? (a) -0.1 (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 and (1\/6)\/(14\/(-77) + 1887\/(-451)).\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 7*w - 8. Let o be m(4). Suppose 2*i + 82 = 2*v, 0 = 5*i - 3*i + o*v + 94. Let g = i + 77. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 6 (b) 5\/2 (c) 4\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 41*q - 38*q - 26, 3*q + 19 = 5*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/2 + (-10 - -7). Let q(f) = 12*f - w*f - 6*f. Suppose 0*d = -4*d - 16. Give q(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*y = -213*y - 202*y - 843 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 237 * 55\nAnswer: 13035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26472 < 26471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**5 + y**4 - y**4)*(3 - 5 + 1) + y**5 + y**5 - y**5 + (-4*y + 6*y - 4*y)*(2*y - 2*y - y**4) + 2*y**5 - 4*y**5 + y**5 - 190*y + 190*y + 34*y**5.\nAnswer: 37*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 + -67 + (4 - -3 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 7:04 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -33. Suppose 12*s - 16 = -11*s + 7. What is the smallest value in s, m, -4\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 15*k - 132. Give n(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*d + 2 = 0, 0*q - d - 8 = 3*q. Let i be (65\/(-39))\/(q\/(-3)). Is -3 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 541 = -496 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(2 - 4)*2. Suppose d*b - 23 - 5 = 0. Suppose 2 = 5*y - 3*n - 1, 2*n = 5*y - b. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + d**2)*(-1 - 8 + 0) + (-966*d + 156*d**2 + 966*d)*((-3 + 3 - 2)*(3 + 2 - 3) + 0 - 1 - 1).\nAnswer: -945*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3900\/78)\/((-95)\/(-57))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13510, -27074, -40696, -54382, -68138, -81970, -95884, -109886?\nAnswer: -123982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 42*i + 60. Let x be o(0). Let n(f) = x*f**2 - 144*f**2 + 31*f**2. Let m(q) = -2*q. Give m(n(d)).\nAnswer: 106*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/20 in 23\/6, -5, -61, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2142 divided by 42.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 1 - (-6 - -3 - (-11 - -18))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1 + 0)*834\/((-77)\/(2926\/(-228))).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.3, 5, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.101 - -0.601. What is the closest to 0 in -2\/9, w, 4\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:12 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -752, -2950, -6614, -11744?\n\"Answer: -733*x**2 + x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 - 3*l. Let o(m) be the third derivative of m**6\/120 - m**4\/24 - m**2. Let p(n) = n + 2. Let t be p(-6). Determine t*o(a) + c(a).\nAnswer: -2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1)*5\/(-35). Let z = g + -9\/35. Suppose -2 = -k, 2*x + 9 + 1 = 5*k. Is z bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1049*i - 24 - 12 = -1031*i. Sort 32, 1, -3, 5, i in increasing order.\nAnswer: -3, i, 1, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42355 (base 6) to base 12\nAnswer: -33bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123475 and 45925.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 5:19 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, 56, 234, 576, 1136, 1968?\n\"Answer: 9*o**3 + o**2 + 2*o - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505357425 to the power of 1\/4, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -491, -929, -1367, -1805, -2243, -2681?\n\"Answer: -438*p - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95035946.\nAnswer: 2, 47517973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(0 - (-2)\/40). Which is the second biggest value? (a) 2\/7 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/56 and 67\/872452?\nAnswer: 1744904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 0.0798, 0.7, -4, 0.1, -10?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 397273 + -260772. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -3 + 8 - (14 - -44) - -1.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -19*b**5\/2 - 1849*b**4\/6 - 13475*b**3\/6 + 8255*b**2\/2 - 4114*b\/3 - 578\/3 = 0?\nAnswer: -17, -2\/19, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 0*y = -i + 9, 3*i = 4*y + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108985991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**4\/6 - 5*h**3\/6 + 5*h**2\/2 - 22*h. Let m be u(-6). Suppose 0 = 5*z + 5, r - z = 4*r - m. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -1643 (c) -5 (d) 599\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 9. Let j be o(7). Suppose -j*a = -6 - 9. Suppose 0 = -t - 4*t - a*g + 155, 20 = 4*g. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*c**3\/4 + 6129*c**2\/4 - 1382217*c\/4 + 17647295\/4 = 0. What is c?\nAnswer: 95\/7, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 2*g = -8. Let o(x) = -9*x + 11*x + 1 - g. Let z(m) = -9*m**2. What is o(z(a))?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 5490 - 11306 - 24*i**2 + 5816 - 3*i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1369 and 4551.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u + 2*i + 104, -3*i = 0. Let k = u + 57. Let q = 34 - 20. What is the nearest to -0.1 in 1, k, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -25\/2*n**2 - 1\/16*n**4 + 0*n - 5\/3*n**3 - 80. Let o(b) = 0. Calculate b.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18017 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6130, -6134, -6140, -6148?\nAnswer: -6158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -4, 14 in decreasing order.\nAnswer: 14, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 348032\/9 or 38669?\nAnswer: 38669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 182\/104 + 1*438874\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -718, -717, -716, -715, -714?\n\"Answer: n - 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300496000 rounded to the nearest one million?\nAnswer: 300000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 - 5*x + 2724 - 5447 + 2*x + 2718 - x**3 to c*x**4 + t + q*x**2 + m*x + f*x**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 797, 1821, 3245, 5063, 7269?\nAnswer: 9857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + -1 + (-3)\/(-3). Let k = -2 - v. Let j be ((-2)\/((-2)\/k))\/(-2). Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5427*g**3 + 4*g**2 + 8*g - 2437074 wrt g.\nAnswer: -16281*g**2 + 8*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2707 divide 1528961036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(17\/34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.149 (c) -3\/11 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*y - 23 = 0, 0*l + 19 = -l + 4*y. Let j(i) = 8*i**2 + 4 + 29*i + i**3 - 25*i**2 + 4*i**2 + 8. Let r be j(10). Put 1, l, r in ascending order.\nAnswer: l, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from ylllrsllrllyyrrlsslr?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3038 and 5096?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -5 (b) -0.5 (c) 1\/13 (d) -0.4 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-14)\/p)\/(p\/(p\/p**4)))**(-34) assuming p is positive.\nAnswer: p**612","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145410618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211220200 - -22102?\nAnswer: 1212020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -421.04, 5, -2\/69?\nAnswer: -421.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106348 rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86232, 173414, 260596?\nAnswer: 347778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**3 - 1. Suppose -y - 2*q - 7 = 0, 5*y - 17 = 2*q + 8. Suppose 7*a - y*a - 4 = 0. Suppose 3*j - c + 2 = 0, 0*j - 2*c = -j + a. Determine g(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.7297s in nanoseconds?\nAnswer: 507729700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -3 - ((-8)\/1 - -4). Let w(j) = -j**3 + 7*j**2 - 2*j - 2. Give w(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 22*j**3\/3 - j**2 + 51*j + 3. Differentiate o(h) with respect to h.\nAnswer: 44*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -11.49 in descending order.\nAnswer: -2, -9, -11.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 - 3*q**2 + 3*q**2 - 2 + 3*q**4 + 2 + (2*q**4 - q**4 - 2*q**4)*(9 - 8 - 20) in the form c*q**4 + d*q**2 + j + b*q + v*q**3 and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633922364.\nAnswer: 2, 71, 73, 30577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2 + r + 1 - 5*r**2 - r**3 - 7. Let y be p(-5). Let w = 21 + y. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -666075 (base 13) in base 6?\nAnswer: -123412310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -62.02. What is the fourth biggest value in 0.5, -0.3, -1\/2, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + s + 19 = -4*k, 5*k - 24 = s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 185*r**3 + 4*r + 7. Let j be x(-3). What is j rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-9 - (-10 + 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 15 + -5 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/123950 and 9\/500.\nAnswer: 1239500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 + 2)*(4*j**3 - 4*j + 4*j)*(-5*j - 3*j + 5*j) + (2*j**2 + j - j)*(0*j + j**2 + 0*j) to the form v*j**4 + g*j**3 + q*j**2 + h*j + s and give v.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -9. Let g be (1 + -2 - 13)\/t. Let o be -2*g\/((-21)\/6). Which is the smallest value? (a) o (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 13 + 5*d - d**2 - d + 0. Let j be m(2). Solve -p - j*h + 7 + 6 = 0, 3*p + 5*h - 27 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 417*v**2 - 501*v**2 + 4*v.\nAnswer: -918*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 5 - 5*t + 7\/2*t**2. Differentiate h(k) wrt k.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.46 + -0.46. Sort 4\/3, b, 0.08 in increasing order.\nAnswer: 0.08, 4\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 5*j**2 + 2. What is x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 + 69 = -4*z. Let i = z - 15. Let k = i - -14. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8459887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17 - 13)*1\/(-3). Let q be (176897\/28 - -1)*b\/12. Let f = -5259 + q. Calculate the common denominator of 13\/8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 333546 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 709.6921 centuries in decades?\nAnswer: 7096.921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**5\/4 - 174*d**4 + 69219*d**3\/2 + 8125836*d**2 + 64588605*d\/4 + 8056098 = 0.\nAnswer: -223, -1, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 91850 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 1872 = 89*a - 8*a. Sort 68, a, -1, 0 in ascending order.\nAnswer: -1, 0, a, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219200 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o. Let g(i) = 5*i - 2*i + 4*i - i. What is w(g(t))?\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5. List the prime factors of 1*-17*(0 - t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12094 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**2*k**3 - 2*f**2 - 7*f*k**4 + 72*f - 46*k wrt k.\nAnswer: 3*f**2*k**2 - 28*f*k**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*(sqrt(539) + 3)**2 + -2.\nAnswer: -3290 - 252*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c\/(c*(c\/c**(-9))\/c*c))*c))**(-6\/25) assuming c is positive.\nAnswer: c**(72\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = j - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 61*g - 695. Let o(h) = 10*h - 111. Let i(b) = -38*o(b) + 6*q(b). Calculate i(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from niccnniznttnntocnz.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*t = -134*t + 92 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -42, -145, -352, -699, -1222, -1957, -2940?\nAnswer: -4207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 0. Let d = -9 + 3. Is d\/4 + (-423)\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 105*m + 201. What is the remainder when 3324 is divided by a(-106)?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/4 + 0 + (-321)\/(-12). Calculate the highest common factor of d and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 31*t**2 - 28*t - 848. What is the remainder when r(33) is divided by 135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -6 (b) 0.06 (c) 25\/46 (d) 3\/2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a micrometer in nanometers?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1119 divide 4248843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1032\/(-215))\/((-1484)\/(-1855))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 0. Let k(b) = -b**2 - 9*b - 5. Let x be k(-9). Calculate the remainder when x\/((-5)\/16) + -2 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**5 + 8*x**5 - x**5 + (-2*x**2 - 2*x**2 + 6*x**2)*(3*x - x**3 - 3*x).\nAnswer: -x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + 12 + (2 - 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 88. Let l(g) = -3. What is h(t) - 3*l(t)?\nAnswer: 2*t + 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 119694, 119677, 119644, 119589, 119506, 119389?\n\"Answer: -n**3 - 2*n**2 - 4*n + 119701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, j: 4, m: 2}. Give prob of sequence bjj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 15. Let w = -10 - -18. Let l be g(w). Let o(c) = -7*c + 8. Is o(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3 - 2*z**2 - 10*z + 3 + 4*z**2 + 9. Is 7 a factor of f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 528 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffifififixpkpfk. What is prob of picking 1 p, 1 x, and 1 i?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14880 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1459354, 2918083, 4376810, 5835535, 7294258, 8752979, 10211698?\nAnswer: 11670415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1794*b*m**4 - 5*b*m**2 - 28*b*m - b - 4*m**5 - 37 wrt m?\nAnswer: 43056*b*m - 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 39, 5.\nAnswer: -96, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43513600 a multiple of 6400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(24)\/sqrt(6)) + -4.\nAnswer: -4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -242318370*m*p - 95955355*p + 2 wrt m?\nAnswer: -242318370*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b - 2*b)*(155 + 256 + 40).\nAnswer: 451*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36360.\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111379?\nAnswer: 127, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*u + 87*u + 95*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*l + 379 + 445 = -281 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816.972mg to nanograms.\nAnswer: 816972000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -12133002121?\nAnswer: 12133002131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppbp when four letters picked without replacement from {b: 9, p: 5}?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = -2*u. Which is the smallest value? (a) u (b) -2 (c) -5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.978176 - -70.672406. Let r = -64.7 + y. Round r to 4 decimal places.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 12:50 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -496390*n**3 + 9*n**2 - n - 192184553 wrt n?\nAnswer: -1489170*n**2 + 18*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13310346?\nAnswer: 2, 3, 7, 31, 10223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f**3 - 2*f**2 + 6. Let l(o) = 3*o**3 + o**2 - 3. Give -5*l(c) - 2*n(c).\nAnswer: -3*c**3 - c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*p**3*v**2 - 9*p**3*v + 2*p**2*v**2 - 19*p**2*v + 2*p wrt p.\nAnswer: -66*v**2 - 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 1 = -d, p - 2*d + 2 = -3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-132) - (6 - (-410)\/(-60)))\/(3\/64).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 7*f**3 - 13*f**2 - 164*f - 27. Let v be u(-8). Let y be 87471\/28 - (-2)\/(-8). Let h = v + y. Calculate the common denominator of -7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74103.43 hours in seconds?\nAnswer: 266772348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-100)*5*(-120)\/(-108)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 0*g**2 + 3*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28\/59 - -376\/295. Which is the second biggest value? (a) 3 (b) w (c) -1 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 101*b**5\/5 + 2*b**2 - 20*b - 1062. Find the first derivative of w(r) wrt r.\nAnswer: 404*r**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000026655755 rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 340 and 204?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 18 = -3*g, -114*l = g - 126*l + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.53 - -0.03. Let d = -0.8 - l. Which is the closest to 1\/4? (a) -0.2 (b) -1\/8 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 19*k**6\/720 + k**5\/60 - k**4\/4 - 3*k**2. Let b(s) be the second derivative of l(s). List the prime factors of b(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77*i**4*z**2 + 2*i**3*j**2*z**2 - 4*i*j + i*z**2 + 2*j**2*z**2 + 2*j*z wrt i.\nAnswer: 924*i**2*z**2 + 12*i*j**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5152601?\nAnswer: 239, 21559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118417 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 17*d**3 + 6*d**3 - 2*d**3.\nAnswer: 21*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16412, 16399, 16386, 16373, 16360?\nAnswer: 16347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/20 + (-18)\/(-15)*813. Let s = d + 1. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(5)*6*5 + (sqrt(121)\/(sqrt(396) + (sqrt(396) - (sqrt(396) - (sqrt(396) - (sqrt(396) - (-4*sqrt(396) + sqrt(396) + sqrt(396))))))))**2.\nAnswer: 11\/36 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -7\/2. Let l = 16 + -18.2. Let h = l - -2.6. Sort 0.5, o, h in ascending order.\nAnswer: h, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1526211 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.253 - -0.583. Let m = -0.2 + 0.37. Let o = k + m. Sort 1, o, -0.2.\nAnswer: -0.2, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c - 13. Let f be r(-11). Let i(k) = 17*k - 1 + 7*k**2 - 15*k + f*k**2. What is i(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(135\/(-12))\/((-33)\/(-11))*12\/(-9).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a - 11*a + 25*a + 5 + a**3 - 4*a**2 - 6*a. What is f(5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaajaj. What is prob of sequence jj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 8:46 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (0 + -3 - (31 + -13))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237228?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 13*y**2 + 12*y - 5. Let z = 93 - 81. What is l(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*k + 33. Calculate the remainder when 37 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1546887*n**3 - 20*n**2 - 96*n - 29 wrt n?\nAnswer: 9281322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6 + 5*y**2 + 27*y + 4*y**2 - 3*y**2. Let i(g) = g**2 + 4*g + 1. Let u(n) = -27*i(n) + 4*k(n). Find the first derivative of u(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 6\/5*v**5 + 1\/4*v**6 + v**3 + 15\/8*v**4 + 0*v**2 + 0*v - 8. Factor w(r).\nAnswer: 3*r**2*(r + 1)**2*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a81c3 (base 13) to base 15.\nAnswer: 2c9ed9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x + p + 25638 = 0, -p + 32043 = -5*x. Let o = x + 89811\/14. What is the common denominator of o and -49\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = l, 0 = 2*z + 5*l - 6*l - 5. Let k(w) = -2*w**2 - 44*w - 5. Let i be k(-22). Sort i, z, -2.\nAnswer: i, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6464*v**4 + 91850336*v**3 - 44107500*v**2 + 4831408*v + 113680 = 0. What is v?\nAnswer: -14210, -2\/101, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32527489?\nAnswer: 32527489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107025\/47 - -2277. Is -7 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*q*z + 37*a**3*q + 2*a**3 + 70204215*a**2*q*z - 11*a**2 - a - 4029*q with respect to z.\nAnswer: a**3*q + 70204215*a**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -3\/2135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*l*s**2 - 584*l*s + 233201751*l + 3499*s**2 + 2*s wrt s?\nAnswer: 8*l*s - 584*l + 6998*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 8838 (c) -77.36 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.43366133 to 2 dps.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {v: 4, w: 1, h: 2, p: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-63)\/(-2))\/((-2)\/(-8)). Suppose 67*v - 105 = 62*v. Calculate the remainder when j\/10 + -1 + v\/15 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*c + 0)*(-c**2 + 2*c**2 + c**2)*(-3 + 6 - 4).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 2131562732710?\nAnswer: 2131562732710.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 53.9036m?\nAnswer: 53903600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**4\/16 + 7*q**3\/12 + 5*q**2\/4 + 13. What is r in s(r) = 0?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 4*z - 7. Let j(o) = -o**2 - 4*o + 5. Let k(r) = -2*j(r) - 3*t(r). What is k(-8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 2*n**2 + 3*n**2 + n**4 - n**3 + 4*n to a*n**2 + h + x*n**3 + t*n**4 + b*n and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 14. Suppose 49 = -2*j + 6*j + 3*x, 2*j - 2*x = 28. Let y be p(j). Calculate the greatest common factor of y and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 857218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127*f**5 + 140*f**4 + 253*f**2 - 4*f**5 - 138*f**4 wrt f?\nAnswer: -7860*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/sqrt(6)*5*2)**2 - (sqrt(72)\/sqrt(4)*-4)\/((sqrt(66) + sqrt(66) + sqrt(66) + sqrt(66) + sqrt(66)*2 + sqrt(66) - sqrt(66))\/sqrt(11)).\nAnswer: 2*sqrt(3)\/3 + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = -4. Suppose -5*g - k = 3*r, -4*g - 7 + 0 = 3*r. Suppose g*y = -0*y + 52. Calculate the remainder when y is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 21*p + 326. Give u(-35).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8870.85 + -8870. Let i = -1.103 + 0.053. Let j = b + i. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26456 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 - 103. Suppose m + 2 = 2*b - 5*a, 3*b + 2*a = -10. Solve b*h - 7 = -4*h + u, 2*h = -4*u + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/5 - 32*n\/5 - 6 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 25. Calculate j(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -0.1, 370\/2757, -1\/5?\nAnswer: 370\/2757","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*s*t**2 + s*t - 14*s - t**3 + 2524*t**2 + 273*t wrt t?\nAnswer: 102*s - 6*t + 5048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/15 + (-61138)\/(-6). Suppose -2*a + 4*g + 2021 = -a, -b = -5*a - g. Let w be (4\/(-6))\/((-14)\/a). Does w = 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -209 and -0.5.\nAnswer: 104.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s - s**2 + 3*s + 0 + 9 - s. Let x be v(-6). What are the prime factors of -1 + 2 - (x - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2034739 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a6b + -23?\nAnswer: -1a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 152\/11*v + 80\/11*v**2 + 2\/11*v**3.\nAnswer: 2*v*(v + 2)*(v + 38)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*1 + -4)*1 + -6*(sqrt(325) + -2 + 0))**2 + 2.\nAnswer: -400*sqrt(13) + 8191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 q when two letters picked without replacement from qnnnnnqqqqu?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-273)\/(-78))\/((-77)\/(-594)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8842\/3 - 2845. Let p = -6317\/60 + r. Calculate the common denominator of p and 51\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -27. Let o(w) = w + 1. Let h be o(-1). Let l be 0*(h - (2 + -3)). Solve l*b + y = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1709 - -5.1709. Sort 0, 8, p in decreasing order.\nAnswer: 8, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 + 0*d**3 + 7*d**3 + (-2 + 5 - 4)*(2*d**3 + 0*d + 0*d) + 0*d**2 + d**3 + 0*d**2 - 74*d**3 + 121*d**2 - 121*d**2.\nAnswer: -64*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -38)*52\/(-8). Let x = q + 425. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 14*h + 6. Suppose 6 + 7 = -f. Let b be w(f). Calculate the greatest common factor of 38 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuaa when four letters picked without replacement from {a: 7, z: 2, t: 1, u: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(9\/11)\/(q\/(q*q*q\/(q*q**(-6\/19)*q)))*((q\/q**27)\/q*q)**(-15))**(1\/4) assuming q is positive.\nAnswer: q**(81747\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 - 4*q - 3. Let u be r(-2). Let j be -3 - u\/(-3)*-1. Solve 0*a + 2*a**3 + 2*a**4 + 0 + j*a**5 + 2\/3*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 3. Let a(d) = -d - 3. Let v(x) = 5*a(x) - 6*k(x). Let u be v(-3). Suppose -l = 1 - u. Which is smaller: l or 2\/75?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*n - 65*n - 6. Which is bigger: n or -1\/79?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 856 = g + 1106, 4*u = -g + 1575. Let x = -8251\/21 + u. Let s be 8*(10\/4 + -2). Which is the nearest to 0.1? (a) x (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6107928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 divided by -48?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 17 + 21 - 53*k + 11.\nAnswer: -53*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3659 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1916224?\nAnswer: 2, 79, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 8. What are the prime factors of (40\/16)\/((-2)\/p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -584, 248, 1646, 3622, 6188, 9356?\n\"Answer: 2*f**3 + 271*f**2 + 5*f - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -21 (b) -1269 (c) 153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63795175.\nAnswer: 5, 379, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 8, 3, 3078 in increasing order.\nAnswer: -8, -3, 3, 8, 3078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:40 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, s: 1, d: 1, k: 1, f: 1, c: 2}. What is prob of sequence pcpd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1572\/5895)\/(9\/15)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 0)*-1)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 11*i**4 - 11*i**3 - 2*i**2 - 7*i - 9. Let l = -14 + 10. Let c(x) = -5*x**4 + 5*x**3 + x**2 + 3*x + 4. Let h(b) = l*q(b) - 9*c(b). Factor h(u).\nAnswer: u*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 329 = -t + i, -5*i = 3*t + 1017. Let d = -527 - t. What is d rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - 19163.\nAnswer: -19156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177.9316955044 + 160.\nAnswer: 337.9316955044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 14*s - 10. Let g be y(-10). Suppose -g*m + 155 = -45*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*k + 733 - 1205 - 1347 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928254507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -665*x**2 + 44*x - 3?\nAnswer: -1330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-9)*(2 + 4). Let t = r + 21. Sort -1, 2, t in decreasing order.\nAnswer: t, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c + 20 = 29*c, 0 = b + 4*c + 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in years?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2*(sqrt(80) - -2*sqrt(80)))*-3)**2.\nAnswer: 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -32. What is the least common multiple of q and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - 7*d**2 + d - 2. Let l be b(-4). Let v = -14 + l. What is the remainder when (-72)\/27*42\/v is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 n when three letters picked without replacement from {x: 1, v: 1, n: 3, g: 4, i: 3, k: 3}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s - 8. Let i be a(-2). Let u be 12 - 7 - (i + -1). Factor 27 + 6*g**4 - 7*g**2 - 5*g**4 - 2*g**3 - 27 - u*g.\nAnswer: g*(g - 4)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21419100 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 74*d - 157. What is x(-76)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 plus -208989637329?\nAnswer: -208989637329.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -116, 280, 1188, 2608, 4540, 6984, 9940?\n\"Answer: 256*i**2 - 372*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 117 = n. What is the remainder when n is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -53. Calculate the remainder when 327 is divided by b.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -124, 1, 48, 4 in descending order.\nAnswer: 48, 4, 1, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by (-21)\/((-231)\/(-22))*(2 + -4)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -18. Let n = 18.68 - z. Let i = n + 5.92. What is i rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/2, 2, -5, 0.06, 1, -419?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Let y(r) = -r**2 - 34*r - 177. What is the smallest common multiple of (45\/3)\/(q\/2) and y(-7)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**8\/h*h)\/h**(-2\/27))\/(h**21*h*h**12))**15 assuming h is positive.\nAnswer: h**(-3365\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5*k - 4)*(-2*k - k + 4*k) - k**2 + 3*k**2 + 0*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1206 - k + 1208 - 4*k**2 + 3*k**2. What is t(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8)\/24 + 2524\/3 + 0.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhl when four letters picked without replacement from lhdhldnhhdnvddadldl?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -2)*4\/6. Let m = 6 + d. Suppose 6033*x - 6038*x = -5. What is the highest common divisor of x and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648 and 301032936.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)\/(d\/(d*d*d**(-2\/9)*d*d*d))*(d**(2\/7))**(-1))**(-32))**(-20) assuming d is positive.\nAnswer: d**(-20480\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19484.7 + -19485. Which is the nearest to 1? (a) 14 (b) -3 (c) j (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.2 (c) 2804.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (1026\/190)\/((-12)\/(-20)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -38. Sort 92, 1\/4, z in ascending order.\nAnswer: z, 1\/4, 92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*j + 67 = 0, -4*g - 4*j + 153 = -j. Suppose 7*w + 28 = 70. Calculate the greatest common divisor of g and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtggtkgkkgkkkkkk. What is prob of picking 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 24. Let p be u(7). Let m be (-12)\/54 + (-97)\/9. Let n = p + m. What is the lowest common multiple of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-7)\/(-1 + -13)). Let h(w) = -w**3 - 8*w**2 - w - 11. What is h(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 2)*(19 + -66). Let p be 66\/(5\/(-3) - -1). Let l = p + m. What is the lowest common multiple of 10 and l?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43729 smaller than 43737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3003828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**2 + 1. Let g(v) = 4 - 84*v + 81*v - 4 + 2. Let t(i) = -30*i + 21. Let s(q) = 42*g(q) - 4*t(q). Determine s(k(r)).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y + 3. Suppose 0 = 5*v - 3*z + 4*z + 11, -5*v + 4*z - 6 = 0. Let a(k) = 31*k - 16. What is v*a(i) - 11*q(i)?\nAnswer: 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -40, -37, -34, -31?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501*a = -504*a + 8757. What are the prime factors of a?\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170239672.\nAnswer: 2, 21279959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 11:56 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64.0256 * 331.\nAnswer: -21192.4736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1523, 3083, 4643, 6203, 7763, 9323?\n\"Answer: 1560*h - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -1\/35*w**5 - 4\/147*w**7 + 0*w**3 + 1\/42*w**4 - 1\/15*w**6 + 0 - 8*w + 0*w**2. Let s(k) = 0. What is k?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/71022125 and 79\/1000?\nAnswer: 568177000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6954 (base 16) in base 13?\nAnswer: -c372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 10*k + 65. What is the remainder when 49 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 + 0.17?\nAnswer: 111.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59548, 238135, 535764, 952429, 1488124, 2142843, 2916580, 3809329?\n\"Answer: -y**3 + 59527*y**2 + 13*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8955)\/27)\/((2\/120000)\/(-1)). Round u to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/84 and -131\/1428.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 1166*z**2 - 1. Let q(b) = -b**3 + 59*b**2 - b - 1. Calculate g(u) + q(u).\nAnswer: -2*u**3 - 1107*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -206\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 + -1) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.862 to 1 dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 208*z - 320*z + 784 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1353*g - 6*a = -1348*g + 60, -2*g + 4*a + 8 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.366 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 236310 and 12?\nAnswer: 472620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12)\/(g*(g\/g**3)\/g))\/(g\/(g*g**(-1)))**(-6) assuming g is positive.\nAnswer: g**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-1) - 271\/((-45257)\/5678)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31447982 = 58*d + 9*d - 13102529. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/14)\/f**20*(f**(-14)\/f)\/f*f*f**(-12)*f*f)**(-1\/37) assuming f is positive.\nAnswer: f**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 9*r + 133*r - 1288980 = 0. Does 217 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**5*n - 562*j**4*n - 4*j**2*n + 24*n wrt j.\nAnswer: 120*j**2*n - 13488*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c. Let n be ((-14)\/(-4))\/7*12. Let u(x) = x**3 + 3*x**2 - x - 1. Let l be u(-3). Let k(p) = n*p**2 + 2*p**2 - 4*p**l - 2*p**2. Calculate k(z(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 18350*l - 18360*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8544*v + 7996*v - 133595 = 5826*v - 26455 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*t - 56, -3*t + 99 = w + 2*w. Let z = t - 29. Factor 8 - 17*s**2 + 13*s**3 + 23*s**3 + 20*s - 20*s**2 - 27*s**z.\nAnswer: 4*(s - 1)**2*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z**4 - z**4 - 2*z**4)*(5*z - z - 2*z) - 5*z**5 + 0*z**5 + 4*z**5)*((3 - 1 - 1)*(3 - 2 - 3) + (-3 + 0 + 5)*(-1 - 2 + 0)).\nAnswer: 40*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 152\nAnswer: 3\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*u**2 + u**3 - 365*u + 986*u - 13*u**2 - 9*u**2 as a + r*u**2 + q*u + s*u**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 293 + -282. Suppose -u = -r + 3*f, 2*r - 4*f + 3 = 21. Solve -z - r = -6*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17813401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3791370?\nAnswer: 2, 3, 5, 11, 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26192 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, 21.\nAnswer: -12, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -5 - -1) + 3 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6288 and 80958.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*21*12\/126\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - f = -9, r = 2*f - 8 - 1. Suppose -2*l = -4*l. Sort 3, r, l.\nAnswer: r, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -1 + 0\/(-1). Let s = r - 0. Is 9 a factor of s\/(2\/6)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + d. Let a be p(0). Let f(c) = -2*c**2 + c + 7. Let h(o) = -o**2 + o + 8. Let t(x) = -2*f(x) + 3*h(x). Is 10 a factor of t(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 39268. Let y be m(0). Let f = -11429 - -19361. Let n = f + y. Round n to the nearest 1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -44.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.4 (b) -2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286 + 467081.\nAnswer: 467367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*c + 142428, 5*c - 4*z - 103799 - 133547 = 0. What is the thousands digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -487*s + 208*s + 1 - 2*s**4 - s**3 + 290*s + 0 - 2 to v + w*s + d*s**2 + t*s**4 + u*s**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**3 + 5*n**2 - 3*n - 1. Let d be c(1). Is 0 + 921 + (d - 8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4834, 9633, 14432, 19231, 24030, 28829?\nAnswer: 33628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -141.976177 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**2 - h + 2. Let g be i(3). Suppose 5*o - 25 = 4*j + g, -5*j - 66 = -4*o. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -321*v - 1633. Give f(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -6 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 l, and 1 k when three letters picked without replacement from {n: 3, l: 1, k: 1, e: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 899\/5, 1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*x + 6, -4*d - 5*x = 2 - 14. Is 3 a factor of d*(-12)\/3*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*a**3 - 2 - 2*a**4 - 4 + 5 to i + l*a**3 + w*a**4 + t*a + r*a**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25920)\/1856 - (-1)\/(-29)) + 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 11*n**2 + 5*n + 16. Is o(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 9 = -5*v, 4*f = 4*v + 4 + 8. Let l(z) be the third derivative of -2\/135*z**5 - 1\/36*z**4 - 1\/540*z**f + 0*z**3 + 10*z**2 + 0*z + 0. Factor l(y).\nAnswer: -2*y*(y + 1)*(y + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 499, 504, 647, 928?\nAnswer: 1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -33, -46, -65?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -14*j**4 - 3*j**3 - 9*j. Let o(q) = -27*q**4 - 5*q**3 - 19*q. Let i(g) = 3*o(g) - 5*p(g). What is the second derivative of i(s) wrt s?\nAnswer: -132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -566*i + 55. Let c be h(-11). Suppose -o - 18483 = -2*m, -5*m + 52466 = 2*o + c. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -32, -113, -230?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 - 4*x**2 - 16*x + 9*x**2 in the form t + d*x + q*x**2 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(90)\/(sqrt(12)\/sqrt(6)) + sqrt(45))**2*-6.\nAnswer: -1440*sqrt(5) + 4920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + g**2 + 4*g**2 + 90 - 81. Is p(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 24*f**2 + 26*f + 27. Calculate j(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -25*o**2 - 11*o. Let v(b) = 5*b**2 + 2*b. Let n(y) = 4*j(y) + 22*v(y). Let r(m) = 18*m**2 - 21*m**2 + 5*m**2. Give n(r(z)).\nAnswer: 40*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -40.\nAnswer: 19\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 1 in descending order.\nAnswer: 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-10))*l)**17 assuming l is positive.\nAnswer: l**204","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 952 and 9926.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from ungknyu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1699 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b**3 - 3*b - 5 - 11*b**3 - 3*b**3 + 4 + 4*b**2. Calculate m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 4*i**2 - 2*i - 6. Let x be l(-4). Suppose -28 = -x*r - 2*r. What is the remainder when 26 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1462, -3318, -5570, -8218?\nAnswer: -11262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*n + 0)*((0*n + 3*n - n)*(n + 0*n - 2*n)*(-n - n + 0*n) + (-6*n + 4*n - 4*n)*(n**2 - 3*n**2 + 5*n**2)).\nAnswer: 28*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 5*u**2 - 5*u - 7. Let o be b(6). Let v be (o - 3)*21\/(-28). Suppose v*f + 683692 = -636308. What is f rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**4\/12 + 2*x**3\/3 - 10*x. Calculate o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9973 is divided by 9227.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10012 + -10?\nAnswer: 10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98296925 and 16001825.\nAnswer: 688078475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + 1 + 4 - 7)*(-4 - 2 + 4) to the form w + s*k and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 29504491.\nAnswer: -5\/29504491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 11:02 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5508*v + 332888 + 93049 = -2618*v + 1953*v for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(2)*-3 - sqrt(33) - sqrt(33))\/((sqrt(63)\/sqrt(3) + sqrt(21))\/sqrt(7)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 - i + 2. Let g(d) be the first derivative of 1\/2*d**2 - 5\/3*d**3 + 45 - 2*d. What is -3*g(u) - 4*s(u)?\nAnswer: -u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.056 - -4.056. Let h = 35 - 35.6. Which is greater: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 15, -15, -65, -141, -249, -395?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/1467 and -14\/64385.\nAnswer: 579465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-10 + (0 - -5) + (-32 - -29))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 6, 0*d - 581 = 4*g - d. Let a = 234 + g. Let n be ((-14)\/5 + 2)*-10. What is the greatest common factor of n and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/(-4) + 1\/(-4). Let k = 7 + f. Suppose 3*h + h - 28 = k. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 34*t**2 - 2*t - 8. Let k be z(-3). Calculate the highest common divisor of k and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1075 divide 670885547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 3588\/14 - 4\/14. Let n = 254 - u. Solve 5*f = -n*f - 4*j - 10, 0 = 5*j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 147946.402 to the nearest 10.\nAnswer: 147950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(72)\/sqrt(8)))\/sqrt(8) + ((2*sqrt(7))**2 + -3 - 1*(1 + sqrt(7))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9 = -1. Suppose -2*b = -l + 1, 0*b - x*b - l + 5 = 0. What are the prime factors of (24\/14)\/(b\/7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46507 and 158.\nAnswer: -7348106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 153468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21100 (base 3) to base 12\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 3, 55*p - 2 = -s + 53*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 52\/5 of a kilogram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123264 is divided by 2326.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*v + 33 = -5*g + 256*v, -5*g = -4*v + 44 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168\/16)\/7*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5069 - -5064. Let a = -0.1 - 0.8. Which is smaller: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2\/8 + 39*v\/4 - 737\/8 = 0.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = -4359. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 - -97. Let t(g) = 10*g + o*g - 18*g. Let k(b) be the first derivative of b**3\/3 + 1. Determine t(k(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -2. Let w = 6 - o. Suppose -w*p + 8 = -p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10730, -10660, -10586, -10508?\nAnswer: -10426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.7 + 6.5. Put -1\/8, -4, 1, u in descending order.\nAnswer: 1, -1\/8, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-33)\/55)\/(-1 + (-14)\/(-20)). List the prime factors of 782*(4 + (-7)\/j).\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913698 is divided by 543?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-2))\/(-3)*-38*(-21)\/2394?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 27. Let z be q(-12). Let b(p) = 6*p + z + 2 - 3*p - 4*p. Let w be b(0). Solve -w = -4*l + o, -2*l - 2*o = -0*l - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -548 + -762. Round o to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + 4507*h\/2 - 4505.\nAnswer: -(h - 4505)*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + (-180)\/50)\/(1\/20). What are the prime factors of ((-6537)\/(-13) - l\/(-52)) + 3?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - a**4 - 2*a**2)*(60*a + 17 - 17) - 2*a**5 + 22*a**5 - 42*a**5.\nAnswer: -82*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1501, -2910, -4305, -5680, -7029, -8346?\n\"Answer: p**3 + p**2 - 1419*p - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*w - 3*z - 225 = 0, -3*w + 3*z + 723 + 717 = -702 + 2091 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20466 and 432?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.021?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 995129 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244\/(-1403)*(-9)\/108.\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -5*j - 5*v, -3*v - 10 = -j - 34. Let a = j + 19. What is the smallest common multiple of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 0.3438.\nAnswer: 0.4438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165892.\nAnswer: 2, 67, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 407422395 divided by -81484479?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -662869, -1325831, -1988789, -2651743, -3314693, -3977639, -4640581?\n\"Answer: 2*z**2 - 662968*z + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-30)*80\/12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.5. Let x be 16\/(-88) + 7\/(-22). Which is the closest to -1? (a) 4 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 16*k**2 - 28*k + 2. Let r be h(14). Suppose 0 = 11*p - 8*p - 15. What is the nearest to 1 in 3, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)*-1*3 - (5*(1*sqrt(1573) + sqrt(1573)))**2.\nAnswer: -157300 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*s**2 + 4*s - 3*s**3 - 230*s**2 + 73*s**2 + 27*s**2 + 11 - 8 as r*s + f + h*s**3 + i*s**2 and give i.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 74697, 74721, 74745, 74769, 74793, 74817?\n\"Answer: 24*h + 74673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4580 >= -522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and -1958?\nAnswer: 58740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1416, 2911, 4396, 5865, 7312, 8731, 10116?\n\"Answer: -n**3 + n**2 + 1499*n - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -17. Suppose -8 + r = -m. Let t = m - -20. Solve t*v + 4 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002885 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(3\/2))**(-38) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 (base 10) in base 15?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -346 from -378318.\nAnswer: -377972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 23*t**3 - 57*t**3 + 15*t**3 + 21*t**3.\nAnswer: 2*t**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -0.07, 0.5.\nAnswer: -41, -0.07, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 485544013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 10:44 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 4 (c) -20 (d) 3 (e) 8\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35, 71, 131, 215, 323?\n\"Answer: 12*l**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -473 times 0.31?\nAnswer: -146.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2125\/34)\/(-25)*-4. Let y(c) be the first derivative of c**4 + s*c**2 - 16\/3*c**3 - 8*c - 4. Find k such that y(k) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p + 1. Let i be l(-1). Suppose -2*o + 2*c = -188, -2*o = 2*c - 117 - 67. Suppose o = i*r - 52. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28343691 is divided by 349.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2445 - -124691\/51. Let r = -133\/255 + g. Let d(a) = 2*a**3 - a**2 + 1. Let t be d(-1). Put 5, t, r in ascending order.\nAnswer: t, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230217437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 - 3 + 3 + (4*w**2 - 2*w**2 + w**2)*(2 + 3 - 7))*(-4 + 4 + 2*w).\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 + -56. Suppose 3*m + h = 17. Is -1 + (1 + m)*-320 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -12*t - 3. Let k be u(-1). Suppose 8*c + 4 = k*c. Suppose -3*v = v + 4*n - 28, 0 = c*v + 5*n - 31. Calculate the remainder when 17 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.12 and -275201122.\nAnswer: -275201122.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 8*t**2 + 2*t + 12. Suppose 2*m = -13 - 3. What is d(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -987 + 740.5. Let m = 247 + h. Let x be (-1)\/2 + 23\/6. Which is the third smallest value? (a) m (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*a + 1660 = 179*a. Solve 3*h + a - 344 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 888*j**3 + 1080*j**2 - 75*j + 72.\nAnswer: 5328*j + 2160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -943686 divided by 309?\nAnswer: -3054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Let j be (-325826)\/3*s\/24. Let u = j + 9055. Calculate the common denominator of -7\/16 and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 304*w - 307*w + 12, 5*q = 4*w - 31 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/240 and 71\/2.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -78*r**2 - 15*r. Let a(w) = 9*w**2 + 16*w + 2*w**2 + 2*w**2 - 2*w**2 - 14*w. Determine -15*a(t) - 2*z(t).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 5, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**5 - 4*q**5 + 3*q**5)*(-21 + 8 - 8).\nAnswer: 21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30830554?\nAnswer: 2, 17, 31, 29251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 33 = -4133. Let l = o - 541. Let a = l + -188. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1438, 6057, 13872, 24889, 39114?\nAnswer: 56553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l + 37*l = y - 4, -68 = -2*y - 4*l. Solve -290*n + y = -278*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) + 1*sqrt(130)*2)*-4)\/((sqrt(120) + sqrt(120) + ((-2*sqrt(120) + sqrt(120) - sqrt(120))*2 - sqrt(120)) - sqrt(120))\/sqrt(12)))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {t: 2, g: 1, i: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w - 64. Let h be m(21). Suppose -3*p = -8*p + 220. Let k = h - p. Which is smaller: k or 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2732656 bigger than -21861237\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*s - 28965617 = -2437942 - 462240. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16101 + 25546. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 11*g**2 + 5*g + 11. Determine c(-11).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**6\/2880 - j**5\/960 - 7*j**3\/3 + 8. Let w(m) be the third derivative of d(m). Solve w(b) = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/24 + x**3 - x**2. Suppose -19 = 5*i + 11. Let f be m(i). Sort -2, f, 4 in ascending order.\nAnswer: -2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -41. Let m = -27 + a. Solve 0 = k + 2*z - m, 0 = -k + z - 2*z + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -7 + 2*h**3 + 59\/2*h**2 + 41\/2*h = 0.\nAnswer: -14, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-171)\/(-18) - 11)*(692\/(-30) - (-4)\/10).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 805, 886, 967, 1048, 1129, 1210?\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8890*t + 17776*t - 8890*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(78))\/sqrt(6) + 2 + (sqrt(13) - (1*(1*sqrt(13) + sqrt(13)) + sqrt(13))) + sqrt(637) + sqrt(637) + 1)**2.\nAnswer: 84*sqrt(13) + 2557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**7\/168 + 13*j**6\/96 - 55*j**5\/48 + 125*j**4\/32 - j**2 + 11. Factor z(n).\nAnswer: -5*n*(n - 5)**2*(n - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-40) + (-12)\/(-16) + -1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17356?\nAnswer: 2, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17598507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 11*s**2 - 4*s + 5. Let t(u) = u**2 - u + 1. Suppose 3*k = 5*n - 34, -2*n + 1 = -15*k + 18*k. Give n*t(p) - q(p).\nAnswer: -p**3 - 6*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 10, z: 9}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1)\/(63 + -62).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291142386?\nAnswer: 2, 3, 61, 265157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-4*(36\/(-28))\/(-9))\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157535631?\nAnswer: 3, 11, 19, 27917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 136*t - 8399. Calculate s(46).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 212. Suppose 0 = -5*v + 6*v - y. Suppose 3*t = 14 + v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*((sqrt(300) - (sqrt(300)*-1 + 3)) + sqrt(300) + 4) - (2*sqrt(300)*-1*3 + -5))**2.\nAnswer: 3240*sqrt(3) + 97282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -33) + (-13 - 100) + 21\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12\/20719 - -156865\/20428934. Which is bigger: -2\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -0.09, 2\/11, 8\/71, 5, 3\/5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 107 = -2*h, 8*v - 3*v = -5*h - 535. Let a = 110 + v. Differentiate 35*k**3 + 2*k + a - 6 + 37*k**3 - 70*k**3 wrt k.\nAnswer: 6*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Let o = 1 - c. Let z = -1308 + 1312. What is the third biggest value in z, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 157 = 3*s, 2*v + 832 = 4*s + 772 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 1) + -36 + (-4 + 16 + 0 - 18)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2 + 2*c - 2. What is the least common multiple of 2 and m(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -4\/3, 2, 157, -1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + l - 4. Give a(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*m + 341 = 1553, 3*m + 1515 = 5*c. List the prime factors of c.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 885 and 74045?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -15 - -47) + (-3 + -1 - 10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 8:53 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 373851.1815134 and 0.5.\nAnswer: 373851.6815134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 9. Let o be q(11). Solve 0*a + a + o = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + -1 + 0 + -4*(sqrt(500) + 3).\nAnswer: -30*sqrt(5) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**4*s**2 - 444249*c**3*s**2 - 9*c**2 + 5*c*s + 16*s**2 - 4 wrt c?\nAnswer: -24*c*s**2 - 2665494*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 7\/30*v**6 + 0*v**2 - 1\/12*v**4 + 2 - 3\/2*v**3 - 20*v - 1\/20*v**5. Find the third derivative of i(o) wrt o.\nAnswer: 168*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151\/8 - -19. What is the closest to 1 in q, -5\/6, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5 - 21 = -4*q, 0 = -5*q - 4*a + 29. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 = -43*j + 14*j - 26 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 greater than 15\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 31*f**3 + 5*f**3 + 11 - 8*f**3.\nAnswer: 28*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/56*(-3)\/10*(-1)\/3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*w - 0*w. Let f(u) = 31*u**2 + u - 2. Let b be f(1). Suppose -v = 5*t - b, -8*t - w*v = -3*t - 40. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5 = -u - 9, 0 = 5*u + 4*j - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 49 = b + 5*f, 3*b + 4*f - 43 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/186 + 20\/48)*7\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.4 + -14.4. Let c = -25\/2 + 14. Let k = 388\/5 - 78. What is the nearest to k in -3, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*h = -689, 0*h + 1159 = -5*a - 4*h. Let d = 332 + a. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-10)\/(((a**(7\/5)\/a)\/a)\/a) assuming a is positive.\nAnswer: a**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5344 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 1)\/((8 - 5) + -5). Suppose 10*m - 18 = y. Let i(h) = -m*h - 3*h + 4*h - 2*h. Let s(a) = -a**2. Determine s(i(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/10 + 1\/(-70)*394. Let t = -3919\/210 - i. What is the common denominator of t and (-38)\/(-8)*(-6)\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7035, -14006, -20971, -27930, -34883, -41830, -48771?\n\"Answer: 3*x**2 - 6980*x - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0281, 2751, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.87. Let n = -7449 + 7450. Which is greater: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4056221.8 to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7877*r**2 - 1081*r + 4 wrt r.\nAnswer: -15754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*k**3 - 24183*k**2 - 18165*k + 42336.\nAnswer: 3*(k - 2016)*(k - 1)*(4*k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 186841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/57, 41.3, -2\/29 in ascending order.\nAnswer: -2\/29, 2\/57, 41.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from {h: 2, b: 8}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 478170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011000000 + -1100011?\nAnswer: -10100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -849*d - 59. Let p(u) = 1698*u + 99. Give -3*p(x) - 5*s(x).\nAnswer: -849*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62440*w**3 - 39841*w wrt w?\nAnswer: -374640*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 97.52.\nAnswer: -19.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/306 - (-7)\/(1428\/24). Let m be -1 - 1 - 35\/(-17). Let s = f - m. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3109551 is divided by 65?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/3707 and 1\/8088.\nAnswer: 88968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91\/3, 2\/3, -14 in increasing order.\nAnswer: -91\/3, -14, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -19 + -20 - -24 - -87 - -19.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 + -1) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1327 - -1557.9. What is s rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 28*w**2 - w - 91. Let v be (26 - (-10)\/(-10)) + 1 + -1. Is s(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 61?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1997, -2005, -2011, -2009, -1993, -1957?\n\"Answer: p**3 - 5*p**2 - 1993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*k - 2*k**4 - 2*k**4 - 3*k**2 + 6*k**4 + 21*k - 2*k**3 to the form i*k**2 + y + p*k**3 + b*k**4 + o*k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 3 + -8 - (13 - 11)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1727968.9 rounded to the nearest 1000?\nAnswer: -1728000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/98 and 50\/24997.\nAnswer: 349958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4)\/(((-72)\/(-12))\/((-30)\/4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 420 + 0.5.\nAnswer: 420.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 60. Let b be (232\/20 - l)*5\/2. Suppose -12*x = -b*x + 28. Solve r = -5*p + 6 - 0, 0 = -5*p + x*r + 26 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - -15. Let j = -381\/7 + h. Find c, given that -6\/7*c**3 + j + 6\/7*c - 4\/7*c**2 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -u - 12. What is the smallest value in u, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9262 = -404*l + 6392 - 3130 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 24. Suppose -h + 0*h - 3*u = 2, 2*h = u + 10. Suppose 68 = h*t - 5*y, y - 28 = -5*t + 28. Calculate the lowest common multiple of t and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 1258416?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22211002 (base 3) to base 11.\nAnswer: -4914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 254855363 = 254855363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224863 is divided by 2506.\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52086371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*c = 83*c - 54. Calculate the greatest common factor of 144 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1987 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37457466*y**2 - 24711960?\nAnswer: 74914932*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-47)\/(-7) - (-26)\/91. Let s = -5 + r. What is the derivative of -12 + 2 - 2*l + s + 7*l wrt l?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1447 + 3*o + o - 20*o - 6*o.\nAnswer: -22*o + 1447","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 12*g**2 + 24*g - 4. Let j be h(-3). Suppose -2*b - 737 = -2*o + b, 0 = j*o - 3*b - 1820. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245454135.\nAnswer: 3, 5, 97, 168697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155724 by 2049.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w + 77 - 101 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 347*v - 2 = -344*v, 5*v - 1 = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 25*i + 29. Let a be o(13). Let p = -270 + 269. Put p, a, 2 in descending order.\nAnswer: 2, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (-1*(-3 + sqrt(2448)) - sqrt(2448)*3*6)**2).\nAnswer: -1767464 + 2736*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 422338799 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 5. Suppose 4*q = 4*j - 16, -3*j = -m*j + 5*q + 14. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, z: 9}. Give prob of sequence czcc.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9)\/(d\/(d**(-2\/5)*d)))**18\/((d**(-1\/3))**(-44)*(d*d**(-2))\/(d*d\/(d\/(d\/(d**(3\/4)*d))))) assuming d is positive.\nAnswer: d**(-1477\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91011\/1166 or 79?\nAnswer: 91011\/1166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 524 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 2604547?\nAnswer: -2604553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -66*(-6)\/(-14) - 4\/(-14). Let d = 39 + -3. Let v = d + i. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + n + 4*n - 7, -55 = 5*j - 5*n. Let f = j - -8. Let x(g) = -g**3 - 5*g**2 - 7*g - 8. Let q be x(f). Solve 3 = -q*c + 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppipjjpjpppppjippjs. Give prob of sequence psji.\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2053\/5 + -26454\/65. Find the common denominator of k and 31\/58.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2285 or 1?\nAnswer: -2\/2285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1350500 divided by 5.\nAnswer: 270100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 < 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.8142l in millilitres?\nAnswer: 133814.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 473*m**2 + 133*m + 109929.\nAnswer: 946*m + 133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2308 = 4*l - j, -31*l + 2*j - 1726 = -28*l. Let g = l + 588. Solve 10 = g*x - 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and (-26)\/8 + 4 - (-234)\/8?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 22*y + 16. Let p(o) = -17*o**2. What is v(p(m))?\nAnswer: -374*m**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893743431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -93 and 0.19?\nAnswer: -17.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*m + 5. Suppose 58 = 4*l - 2*i, -m*l + 2*i = -l - 19. Calculate the highest common factor of 91 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1605371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -12. What is the closest to 3\/5 in 2\/13, 4, k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(114)*3 - sqrt(114)) + 1*sqrt(114)*-1)\/(sqrt(120)\/sqrt(5)*6*-1).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 820 (base 11) to base 4.\nAnswer: 33132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -891, -1781, -2671, -3561, -4451?\n\"Answer: -890*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21310 - -22283.1. Let a = 1036 - q. Let j = -60 + a. Round j to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 41*o - 406. Let a be y(-16). Let k(x) = 8*x**2 - 3*x + 3. Let s(w) = w - 1. What is a*s(q) - 2*k(q)?\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11486467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 5, w: 2, b: 1, h: 1}. What is prob of sequence bw?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*j - 241 - 12 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*h = 47, 3*p + 2*h - 4*h = -20 + 47 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.06 + -2.01. Let j = u + -0.05. Let p be 3*1 - 98\/35. Put p, j, 2 in decreasing order.\nAnswer: j, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 258\/11*(-12 + 13). Let h = f - 3603\/110. Suppose 4*s + l - 11 = 16, 5*s + 5*l - 15 = 0. Calculate the common denominator of s and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 3*q**2 + 2*q - 2. Suppose 4*z = 32 + 96. Calculate the least common multiple of x(2) and ((-8)\/z*18)\/((-2)\/4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/30228450 and 72\/8575.\nAnswer: 1481194050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144325 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u = 3*p - 415 + 379, -2*p + 2 + 6 = 2*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94476.31 micrograms in nanograms?\nAnswer: 94476310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 7*o**2 + 6*o + 19. Let f be n(8). Solve f*z = -z - 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(33*w**2 - 7 + 54 - 64) in the form x*w + v*w**2 + u and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 11*m - 3*q = 4, 0 = -2*m - 3*q + 35 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -139, -537, -1193, -2101, -3255?\n\"Answer: g**3 - 135*g**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*l - 30, h = 2*h - 4*l. What is the second derivative of 13*s**4 - s + 3*s + 17*s**4 + h*s wrt s?\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 8 = 12*p, -9*z + 6*z + 5*p = 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348848193?\nAnswer: 7, 11, 479, 36571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212808829 to the nearest integer?\nAnswer: 14588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 + -7 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-10)\/6 + 1). Let i = 21114 - 21111. Solve -7 = 5*l + i*d, d - z = 2*l + 2*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -30 - (-8 + 0 + 5). Let u(z) = -z**3 - 27*z**2 - 39*z - 43. List the prime factors of u(x).\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b - 3\/2*b**3 + 1\/24*b**4 - 34*b**2 + 0. Let i be w(10). Which is bigger: i or 8\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16017821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 404607552 divided by -583008?\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1791 (base 10) to base 16\nAnswer: -6ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -674.827 - -675. Which is the nearest to i? (a) -2\/15 (b) 0.2 (c) 5\/2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.45 - -13.85. What is the closest to -26 in 1\/6, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 2. Let r(u) = u**2 + 9*u. Let y be r(-9). Let b = 2 - y. Let w be (-7 - -7) + (-16)\/b. Let f(t) = 6*t + 6. What is w*p(v) + 3*f(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2)\/r)\/r)**30*r**(-2\/7)*r**6 assuming r is positive.\nAnswer: r**(-485\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/9588 and -31\/9588?\nAnswer: 9588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 3*p + 0*p)*(p**2 + 4 - 4) - 7*p + 23*p**3 + 8*p**2 - 5*p**2 - 6*p**3 + (-2*p + 5*p - 4*p)*(-2*p**2 - p**2 + p**2) - p**3 + 0*p + 0*p.\nAnswer: 16*p**3 + 3*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-450)\/(-4)*16\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 5072318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2000)\/(-25) + (1 - -3). Suppose 76*m - t*m = 0. Solve -3*k = 5*q - 17 - 0, 4*q - 5*k + 16 = m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 * 34.\nAnswer: -5.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15767*s**3 + 31537*s**3 - 85*s**6 - 688*s**6 - 15770*s**3 - 5945*s**2 wrt s?\nAnswer: -92760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*o**2 - 45*o**2 + 31*o**3)*(-2*o**2 + o**2 + 4*o**2).\nAnswer: 93*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, q: 4, t: 1}. What is prob of sequence tqq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 + 4*v**2 + 20. Let j be a(-5). Round j to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5830 = -3*x - 4*v - 250, -v + 7427 = 4*x. Is x a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 13*y - 23. Let o(d) = -2*d**2 - 25*d + 47. Let s(m) = -3*o(m) - 7*r(m). Let t be s(-17). Which is the nearest to -1? (a) 2\/5 (b) t (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4127 - 4124. Put -3, 8, 5, -1, h in increasing order.\nAnswer: -3, -1, h, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*g + 9, -g + 3 = -4*f - 0*f. Let r = f - -18. Let t = 33 - r. Solve j + 2*j - t = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185 + -116 + 23 + -21.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/2*(-8280)\/(-33810).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79.84763118 and 0.04319.\nAnswer: 79.89082118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 b when four letters picked without replacement from {h: 4, b: 2, t: 4, l: 9}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(7\/5)*j*j)\/(j*j**(-2\/25)))**(-29) assuming j is positive.\nAnswer: j**(-2523\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*h + 7 = -5*z, -5*h = 3*z + 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79005094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 37*i - 536 = -4*k, -2*k + 288 = 4*i. Calculate the greatest common factor of 76 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*d = 265, -d - 4*d = -5. Suppose 54 = 2*q + z. Suppose 5 = -4*h + q, 4*s - 3*h + 120399997 = 0. Round s to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277253 != 277392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/8*(12\/(-3))\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + q = 26, -14812*q = -2*z - 14808*q + 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 6*j - 2. Let x be n(-5). Suppose -8 = -g - x*g. Let c(s) = -s + 7. Let v be c(0). Solve -v = y - g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - b = -5*c + 257, c - 3*b - 75 = 0. Let f = -19 - -32. Suppose -9 - f = -g. Calculate the remainder when c is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c + 56 = -22*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -668 - -603. Let l be (-3)\/(-5) + (-12 - (-10789259)\/i). What is l rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 6*y**2 + 4. Let s be c(6). Let j(x) = 5*x + 4. Let t(w) = -7*w + 11. Let l(n) = -3*n + 5. Let o(g) = 9*l(g) - 4*t(g). Give s*o(h) - j(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 12:17 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(1705\/(-93)))\/(3\/(-6)*-9)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*g**2 + g + 6.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20502 and 119.\nAnswer: 143514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 3. Let r(x) = 5*x + 8. Let f(b) = 2*b + 3. Let v(t) = -8*f(t) + 3*r(t). Let a(l) = l - 1. What is c*a(p) + v(p)?\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 152, 0.2, -1, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 9 + 9 + (0 + -6 - -1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3255745 + 2991255. Round n to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 14 = -3*b + 2*o, 0 = 2*b - o - 1. Solve -2*k - 3*l - 14 = -b*k, 8 = -3*k - l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*a - 6 = 0, 5*z - 6*a = -2*a + 15. Suppose n - z*b = 11, 0*n = 3*n - 3*b - 15. Let v(i) = i**3 + i - 2. Calculate v(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 15. Suppose -3*k + 11 - 2 = -2*u, v = -u - 4*k + 12. Solve -3*y - 8 = -2*w - u*w, 3*w - 11 = 4*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10782236 + 474834.48\nAnswer: 11257070.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.5 in 0.2, -9, -3\/10, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 0*x**3 - 1\/60*x**5 + 0 + 0*x + 6*x**2 + 0*x**4. Let f(s) = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k**8\/k))*k*k**(2\/31)*(k\/(k\/k**0))**(-42) assuming k is positive.\nAnswer: k**(250\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -16. Suppose -m*j + j + 4*i = -50, 0 = -5*j + 3*i + 90. Let w be 2\/(j\/6 - 2). Solve 2*r - 10 = w*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {c: 9, j: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 11241 - 3271 = 2*l, l - 4000 = 3*h. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35550785*l*u**2 + 7616*l*u - 7*l - 93*u wrt u.\nAnswer: -71101570*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1352, 1357, 1362?\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5412 - -5486. Solve 29*n + 135 = i*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 14. Suppose 25 = 6*o - 11. What is the remainder when q is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 3*q**2 - q. Let o be (4 + -3 - 0)\/((-2)\/6). Let d(r) = -r**3 - 2*r**2 - 1. Give o*d(p) + 2*s(p).\nAnswer: p**3 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -5 - (6 - 3 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(((-108)\/(-9))\/(-12))*-1*5\/(-345).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/63 - -842\/63. What is the closest to l in -4, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 9*n - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**5\/30 + f**4\/24 - f**2. Let g be q(-1). Let m = g + 8. Solve m*z = 4*c, 4 - 2 = -2*c + 2*z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*i - 4*i = 46*i - 1488 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 + (-50)\/20. What are the prime factors of -1*(-2)\/c*-53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*g**3 + 345*g**2?\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16086744 > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-63)\/(-18)*4\/56)\/((-1)\/12). Let h(m) = 20*m**2 + 3. Let z(i) = 41*i**2 + 5. What is q*z(x) + 5*h(x)?\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 10042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 4*f**2 - 5*f - 1. Let k(x) = 5*x. Suppose 10*y + 2 = 9*y. Let m be ((-2)\/(-4))\/((-1)\/y). Let w be k(m). Give n(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4365837768882091 + 4365839068887969.00000364. Let o = 1300006065 - l. Let d = o + -187. What is d rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2995\/1198)\/((-5)\/(-54)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.12 smaller than -225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/4*(-16)\/20. Let u(l) = b + 3 - 5 + 2*l. Let s(m) = -18*m. Determine s(u(v)).\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3*l - 1068 = 0. Let z be -4 - (3 - l)\/3. Suppose 0 = -4*a + z + 16. Solve -n = 4*n + a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1823 - 0.181859. What is k rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8000 - 631. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2378875755?\nAnswer: 3, 5, 167, 949651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/(-6))\/((-67507)\/646).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -1108824 = 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -95*x**2 - 1127*x + 124. Calculate o(-12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 674328719 to the nearest integer?\nAnswer: 25968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95*(-200)\/66500)\/((-22)\/(-28))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:44 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2307 = n, 3473 = 3*d - 5*n + 9*n. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 12*z - 9. Let b be g(13). Let w be 5 - (b + -3)*3. Let c(j) = 4 - j**2 - 6*j**2 + j**3 - 3 + 4*j**2 - w*j. Give c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g = 30*g - 2*b - 4553, -b - 7579 = -5*g. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1155 or 2948?\nAnswer: 2948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 10. Let f be i(5). Suppose f*u - 34 = 1. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27570576000 to the nearest one million.\nAnswer: -27571000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3900 - 1013. List the prime factors of l.\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 198175107.03776 and 0.2.\nAnswer: 198175107.23776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13937?\nAnswer: 7, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**3 + 5 - 1 + 5*o - 6*o**3 to g*o + j + f*o**2 + b*o**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 1. Let o(i) = i**2 + 1. Let y(x) = -o(x) - p(x). Let g(l) = l + 8. Let d(t) = -t - 5. Let z(c) = -8*d(c) - 5*g(c). What is z(y(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250273308?\nAnswer: 2, 139, 2248693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggbjgggjgjgdg. What is prob of sequence bjj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2267, 2, -3, 1, 131, 0.05?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -218.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 69\/2 (b) -47 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -834, -3236, -7342, -13152, -20666, -29884?\n\"Answer: -852*u**2 + 154*u - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a microgram in nanograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n + 20*n**2 + n**2 - n**2 + 6*n in the form g + v*n + c*n**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43.98 + 1.02. Let f = d - 44.999913. Round f to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*q**2 + 10*q**4 + 56*q**2)*(1 + 5 - 4).\nAnswer: 20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-91 - -99) + -2 + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-4) - 2\/4. Let p(y) = -4*y + 12*y - 2*y**2 + 3*y + 4*y**2 - 80 - y**2. Let x be p(5). Which is the nearest to 0? (a) 4 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -5*d**4\/24 - 5*d**3\/2 - 13*d**2. Let w be p(-7). Solve -4*v = -0*v - w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - -1)*8\/(-12). Suppose 4*l - l + 163 = s, p*s - 639 = -l. Suppose 8*r - 3*r = s. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 5284 = 5474. Suppose 0 = -0*g - 6*g + r. Does 63 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*p - 8*v + 98, -2*p - 107 = 5*v. Let y = p - -78. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.51446 litres in millilitres?\nAnswer: 85514.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0, 5, -2\/5, -4\/7, -6, -25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 8) to base 15.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.72 - 2.7. What is t rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28778 is divided by 9575.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1074, 12, -7 in descending order.\nAnswer: 12, -7, -1074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1315bc (base 14) to base 6.\nAnswer: -22025254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -9\/4, -2, 2\/9 in descending order.\nAnswer: 2\/9, -0.5, -2, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 35*q**2 + 1963*q - 78192. Calculate u(-83).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/347 - 672\/3817. Which is the nearest to 0.2? (a) i (b) -1 (c) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 999*j**3 - 2217*j**2 + 9*j. Let c(g) = -11988*g**3 + 26603*g**2 - 111*g. Let m(n) = 3*c(n) + 37*i(n). What is the third derivative of m(r) wrt r?\nAnswer: 5994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10*k + 66. Let f(r) = 7*r**2 - 19. Give i(f(w)).\nAnswer: -70*w**2 + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029218 rounded to 5 dps?\nAnswer: 0.00292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8714 + -8687. Calculate the remainder when 5696 is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643605 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - r - 7 + 44 = 0, -5*r - 47 = -4*v. Let o(f) = -10 - f + 4*f - 6*f + 4*f. Let w be o(12). Solve -2*k - w*k = -v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 11*o**2 - 4166 + 4166. Let r(v) = 4*v + 8*v - 10*v. What is d(r(t))?\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**3 - 5*d**2 - d + 7. Let m(n) = -4*n**3 - 3*n**2 - n + 4. Calculate -5*m(p) + 3*s(p).\nAnswer: -p**3 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1270 divide 17305020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (17 - 23)) + -1 + -3 + -1 - -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6830016217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.1 - -2.1. Let l = 34 + -33.98. Let v = 0.12 - l. Is h bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*o + 7. Suppose -u - 2 = 2*k - o*k, 1 = -u + 4*k. Find z, given that -2\/7*z**2 + 6\/7*z**u + 2\/7 - 6\/7*z = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4176 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38863542 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -89. Let m = 41512 + -41562. Is b greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 361813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -941752922, -941752923, -941752924?\nAnswer: -941752925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743409.\nAnswer: 3, 82601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 12*p - 1. Let t(v) = v - 1. What is -t(g) - x(g)?\nAnswer: -2*g**2 - 13*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16439 (base 16) in base 7?\nAnswer: -526604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121756108049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34437 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -19. Let o(x) = x**3 - 5*x**2 - 5*x + 9. What is the remainder when 28 is divided by o(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3893\/3 - -1281. Which is smaller: -18 or b?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11392 = -124*p + 7249 - 3637. Solve 14*n + 5 = -p for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 64\/984*9\/(-12). Let h = 10469 + -858495\/82. Let f = h + t. Which is the biggest value? (a) -1 (b) -6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 7:47 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 699 - 413 = 0. Let s = p - -113. Let l = s + 117. Calculate the common denominator of l and 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6*z\/z**(2\/11))**(-48) assuming z is positive.\nAnswer: z**(-4128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + 3*(sqrt(1900) - (-1*sqrt(1900) + -4))).\nAnswer: -180*sqrt(19) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -9.305.\nAnswer: 1.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -31. Let o(g) = g**2 + 6*g - 14. What is the lowest common multiple of o(-8) and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, i: 1, w: 2, v: 7}. What is prob of picking 2 w and 1 i?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*d - 5 = -2, -5*d = -2*j + 17. Let f = -693 - -697. Calculate the least common multiple of j and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llwlqlwcl.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24698?\nAnswer: 2, 53, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.19 - -39. Let u = -0.01 + w. Let d = 7 + -4. What is the closest to u in -2\/15, 1, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*m - w + 147, 0 = -3*m + 5*w + 253. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 43286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2. Let t(x) = 1147*x**2. What is r(t(s))?\nAnswer: 3946827*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 3*v**3 - 4*v**3 - 4*v**3 + 25 + 2*v**3. Let l(a) = 3*a. Give l(k(x)).\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 0.4, 1, -16, -1026 in decreasing order.\nAnswer: 3, 1, 0.4, -0.3, -16, -1026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f + 2*f. Let b be (-34)\/(-10) + (-2)\/5. Let p(o) = o**3 - o**2 + 2. Let k be p(b). Solve f*g = 4*n + 9 + 3, -5*n = k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**3 + s**2. Let u be v(-1). Let a = -1 - u. Let y(w) = 7*w + 0 + 1 + a - 3. Give y(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7}. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {j: 4, h: 1, n: 1, f: 5, w: 2, e: 7}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, 3, -4, 6\/31, -146 in decreasing order.\nAnswer: 3, 6\/31, 0.1, -2, -4, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -10. Suppose 0 = -4*a + 9*a - 10. Let y be a - 0 - (-9)\/t. What is the nearest to -4\/5 in 1, y, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96344 - 141100 = 1369*g + 1044*g + 49703 for g.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.61338 in -3\/7, 2, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 2*l**5\/5 - l**4\/12 - l**3\/3 - l**2\/2 - 4*l. What is t(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3012*s - 72678 - 30315 = 47*s - 25903 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*j + 20, -3*y + 31*j = 30*j - 65. Let i(a) = 0*a**2 + 7 - 5*a - a**2 - 4. Let u be i(-5). Solve -2*v = u*v + y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/12 + (-2)\/8. Let o = 1 - -11. Let w = o + -9. Put y, w, -2 in descending order.\nAnswer: w, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112758638 minus 9.9973?\nAnswer: 112758628.0027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 8. Suppose -4*t = 5*o - 216, 5*o - 2*o = -4*t + 224. Calculate the remainder when t is divided by x(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(400\/36)*7\/(126\/240).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3 + 207 = -86*f + 94*f, 0 = 4*i + 2*f - 70 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 10*b**2 + 9*b + 23. Let h be u(11). Let q(l) = l**2 + 1. Let g(t) = -5*t**2 + 9. Let w(f) = h*g(f) + 4*q(f). Give w(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.46 + 0.84. What is o rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**4 + 232099*m**3 + 28*m**2 + 51*m - 25 wrt m.\nAnswer: -96*m + 1392594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2. Let q(m) = -15*m**2 - m + 1. Let a(w) = n(w) - q(w). Calculate the remainder when 28 is divided by a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 159*b**2 - 255*b - 529. Is z(100) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658 (base 16) to base 7.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**3 + 5*z**2 - 4*z + 217. Let s(t) = 9*t**3 + 9*t**2 - 7*t + 433. Let f(q) = 4*s(q) - 7*w(q). What are the prime factors of f(0)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 8*a**2 + 14*a + 6. Suppose 13 = 2*j + j - v, 3*v - 16 = -2*j. Calculate the lowest common multiple of j and z(6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/14 + (11 - 1380\/126). Let b = -655 - -658.89. Let w = 0.11 + b. What is the third biggest value in w, a, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 13. Suppose -s + y + 0 = 0. Solve 22 = c - 2*c + 5*n, -s*c + 4 = 2*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*a + 44 + 64. Solve 2*s = 7*s + 3*u, a*s + 31 = 5*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851490193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/270 and -109\/450.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 517 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -18*r + 3*r + 24*r - 2*r. Let b(q) be the second derivative of 0*q**2 - 1\/6*q**3 + 0 - 3*q. Give k(b(t)).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-604846)\/(-1614800) - (-6)\/(-16). Let n = 834973\/110100 + t. Let g = 53681\/96 - 1678\/3. Find the common denominator of n and g.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17659 (base 10) in base 12?\nAnswer: -a277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 741 = 5*z, 2*z + 3*o = 245 + 41. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, 1\/10, 5\/6, 0.5 in descending order.\nAnswer: 5\/6, 0.5, 1\/10, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2. Let u(m) = 163 + 2*m - 163. Determine u(z(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from -0.0889.\nAnswer: -0.1189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = 4. Let h = 7 + u. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220097201 to the nearest integer?\nAnswer: 14836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 11*x**2 - 5*x + 10. Let g be j(-10). Let u = 235 - g. Suppose 0 = 3*l - 235 - u. What is l rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203*s**2 + 47*s + 1 wrt s.\nAnswer: -406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 43 + 22 = 0. Suppose u = 223 - c. List the prime factors of u.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121882*l**3*n**3 + 5*l**2*n**3 - 3*l**2 + 4702*l*n**3 wrt l?\nAnswer: -731292*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35504 + -8?\nAnswer: 35485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 14\/3, -0.1, -5, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 459*s**5\/20 - 231*s**4\/4 + 157*s**3\/4 - 3*s**2\/4 + 9419. Suppose u(g) = 0. What is g?\nAnswer: 0, 2\/153, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 6*v - 4. Let l be q(-7). Suppose -3*b - 3*w = 9, -2*w - 27 = -l*b - 11. Solve c - b*x + 4 = -c, -3*c = -x - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*g**2 - 5*g**3 - 78*g**2 + 107*g**4 + 7*g**3 + 435*g**2 wrt g?\nAnswer: 2568*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 18 = -6. What is the highest common factor of u and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33330)\/(-7777) - (4\/(-14))\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*4*(-3)\/36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*y = 155*y - 252. Suppose y*b + 336 = 77*b. Let n(q) = -2*q**3 - 4*q**2 - 4*q - 3. Let k be n(-3). What is the highest common divisor of b and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 28 = 180*j - 176*j, 0 = 4*a + 3*j - 1. Suppose -36 = -2*b - 6. Suppose -z = a*z - b. Calculate the smallest common multiple of 41 and z.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1605*w - 4353. Let n be u(13). What is the highest common factor of n and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0 + 3\/5*n**3 + 23*n - 1\/20*n**4 + 0*n**2. Solve m(b) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - (0 + sqrt(5))) + 4 - (sqrt(5) + 0 + (1 + sqrt(5))**2)) + (sqrt(480)\/sqrt(108))\/sqrt(8).\nAnswer: -8*sqrt(5)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -14) + -3 + (-155 - -67)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1616\/5 - 4*6\/(-30) is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953633061.\nAnswer: 3, 23, 179, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 1\/20 (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-10))\/(3080\/(-1100))*24\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/97464 and 37\/619368.\nAnswer: 19200408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**7\/42 - b**6\/8 - b**5\/3 + 53*b**2. Let x(l) = 0. What is l?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49\/2 + 25. Let j = -80\/3 + 27. What is the closest to -2 in c, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:28 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -32287*o**2 + 2*o. Let b(w) = -6*w**2. What is a(b(c))?\nAnswer: -1162332*c**4 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o - 4. Let l be q(5). Suppose l = 4*i + 2*u + 4, -3*u = 3*i - 21. Let n(s) = -3 - 3 + s + i + 0*s. Determine n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-40 + -26 + 20)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 0. Let r = 5.387 - 5.487. What is the closest to 2\/7 in g, r, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 55*n - 100 + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2941915 by -5.\nAnswer: -588383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.245 - -710.\nAnswer: 710.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10948.\nAnswer: 2, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 960415508\/165 - 5820654. Let t = -236\/5 + s. Calculate the common denominator of t and (1\/(-12))\/((-78)\/5720).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205418 and 5962?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1579.88 + 1674. Let m = i + -0.12. Let l = m - 75.4. Round l to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = -4*r + r, 2*r + 2*t = -20. Suppose -z + 22 = -5*n, -3*n + 2*n = 4. Suppose c - 3*s - 9 = 0, -9*c + 2 = -7*c + 2*s. Sort z, r, c.\nAnswer: r, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*2\/40*2962. Suppose 3*m - m = -x - 301, -4*m - 587 = -x. Let r = k - m. Is 1 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9699087.\nAnswer: 3, 3233029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157 + 122. Calculate the least common multiple of 176 and 6*4\/(-30) - 1148\/k.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(216)\/sqrt(9))\/sqrt(2))\/sqrt(6) - 5*((sqrt(2) - sqrt(288)*-3) + -1).\nAnswer: -186*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-75)\/12)*(-10)\/(-6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*l + 79*l = 932053. List the prime factors of l.\nAnswer: 41, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -12*b**5\/5 + 213*b**4\/2 + 879*b**3\/4 + 249*b**2\/2 + 111*b\/4 - 936. Find i, given that p(i) = 0.\nAnswer: -1, -1\/4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.317 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 4. Let f(n) = 2*n**2 - 5*n - 4. Let d be f(-1). Let b(z) = -z - 2. Give d*g(m) - 5*b(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 85\/51 - 6\/(-3 - -9). Factor -f**2 + 1\/3*f + 1\/3*f**4 + t - 1\/3*f**3.\nAnswer: (f - 2)*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2293 + -1135. Suppose 451*s + p = 457*s. Calculate the remainder when s is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -85*m + 31. Is j(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*h - 41, -5*y + 4*h - 246 = -65. Let p = 35 + y. Solve 3*d - p = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24859907 rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1967\/6 + -327. Let v = z - 1\/3. What is the nearest to -0.3 in 1, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*d - 22, d + 4 = 2*z - 6. Let k be 6\/(24\/10)*2. Let i(o) = -24*o + 194. Let y be i(8). Put y, k, d in ascending order.\nAnswer: d, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 787*s - 763794. Calculate c(-565).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406608 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -19*h - 6. Let j(y) = -18*y - 5. Determine -5*f(l) + 6*j(l).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 5) to base 2.\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 45 = -4*c, 0*c = 2*c - 2*g - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -412027\/76 + 24915\/38. Which is smaller: -4766 or z?\nAnswer: -4766","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251834610?\nAnswer: 2, 3, 5, 8394487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*f - 2*f + 34 = 0, 16 = 3*m + f. Let l = 0.00942 - -1.99058. Put l, m, 5, 0.3 in ascending order.\nAnswer: 0.3, l, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(1\/2)*s*s**5)**8*(((s*s\/(s*(s*s*(s*s**(-2))\/s)\/s)*s)\/s*s)\/(s**(-8)\/s*s))**(-47) assuming s is positive.\nAnswer: s**(-449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 21 = -3*k. Let m = 3 - k. Find the common denominator of 99\/2 and 4\/m + (-92)\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0 + 0*b - 1\/30*b**5 - 4*b**2 - 1\/60*b**6 + 0*b**4 - 1\/2*b**3. Let y(f) = 2*f**3 + 3*f**2 + 4. What is 4*w(n) + 3*y(n)?\nAnswer: -2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.40924 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = -12. Suppose 0 = -d + 1 - a. Let y(m) be the third derivative of -m**6\/60 - m**5\/60 - m**2. Calculate y(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -18.59, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7492, 7740, 7992, 8248?\n\"Answer: 2*u**2 + 242*u + 7248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + 26*u - 9. Let y(l) = -l**2 - 13*l + 10. Let s(c) = 3*o(c) + 5*y(c). Let q be 0 + 0 + -1 - 10. Let k be s(q). Which is greater: -6\/25 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.617941 kilometers?\nAnswer: 1617941000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 179*q**6\/24 - 119*q**5\/6 - 15*q**2 + 23. What is the third derivative of o(m) wrt m?\nAnswer: 5370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 6. Let x be i(9). Solve -x*f + 5 = -10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -11 (b) -70083\/7 (c) -0.4 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37712*q**2*x + 16*q*x - 2*q - 2*x - 157 wrt q?\nAnswer: -75424*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1103 = g + 4*c - 8671, -2*g - 5*c + 19530 = 0. Is 30 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -397.324454084 - -27?\nAnswer: -370.324454084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2229739833?\nAnswer: 3, 67, 11093233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 + 93 + -4 + 1 + -6 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1170.1 + -1170. Which is the closest to o? (a) -1 (b) 3 (c) 0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmxc when four letters picked without replacement from vxmvwcwc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 26. Let h be q(0). Let t = h - -53. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 0*d + 92 + 265*d**3 - 91 as b + l*d + j*d**3 + s*d**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.81 + 12.11. Which is the biggest value? (a) -2\/9 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -660*n - 646. What is the tens digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 3*z - 11. Calculate n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.34 - -0.74. What is the second biggest value in -0.3, -1\/12, h?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*q - 8, 6*y + 4*q + 6 = 8*y. Put -0.2, y, -0.4, 1 in ascending order.\nAnswer: y, -0.4, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 105 in -2\/7, 79, 8, 11?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*6\/(-45))\/((-30)\/(-25)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -799520 + 799520 - 24*i + 38*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -457, -1079, -1963, -3109, -4517?\nAnswer: -6187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 541, 543, 547, 553, 561, 571?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 44 + 24 + 10 + 386*l - 14*l to the form x*l + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11*h**3 - 5*h**2 - 7*h + 5. Let s(k) = -16*k**3 - 7*k**2 - 10*k + 7. Calculate 7*r(m) - 5*s(m).\nAnswer: 3*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 8:02 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2343 is divided by (-15)\/(-35) - (146248\/(-252) + 2\/(-9))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11524466813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 818 - 248 = 5*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + 6*((0 + 1 + sqrt(475))**2 - -2*-4*(sqrt(19) + sqrt(57)\/sqrt(3)))).\nAnswer: -14265 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = v + r, 8*v - 3*v = -3*r + 80. Let b = 16 - 11. Suppose 0 = b*i - 155 - 70. What is the remainder when i is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*-173.\nAnswer: 15.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 3*w**2 + 16*w + 19. Determine b(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 49*l**2 - 34*l + 9889. Determine w(52).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*r - 8*s + 344919, -3*r + 4*s + 517459 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 10:06 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 9*m - 2. Let y be k(-8). Let w = -53 - y. What is the greatest common divisor of w and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 74031*c**2. Let x(h) = -27*h. Give f(x(n)).\nAnswer: 53968599*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.58289166 - -1.583. What is h rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -14. Let q be 0*(1\/2 + f). Suppose q = -0*h - h + 3. Let v(x) = -3*x. What is v(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 1:29 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 585029 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1599 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 190936 + -190933. Find s, given that -18\/7*s**2 + 8\/7*s - 2\/7*s**4 + 12\/7*s**i + 0 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2, 3, 0.07, 497182?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 336135 divided by -127?\nAnswer: -336135\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83830324 - 175175.\nAnswer: 83655149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -33. Let p be (f\/8)\/((-2)\/4). Let o be p*7\/21 - (-1 - 0). Sort -9, o, 4.\nAnswer: -9, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 7:04 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(-1\/5)*m)\/m)**(1\/28)*(m*(m**(-2\/5)\/m)\/m)**(-4\/11) assuming m is positive.\nAnswer: m**(207\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 26, 266, 2, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**2 + 597*s - 297*s - 300*s.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2.5 (b) 2 (c) -11392 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*b - b + 24, -b = -j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + c**2 - 4*c + 5. Let w be t(2). What is the hundreds digit of (w - 27\/(-4)) + (-10234)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s**(-5\/4)\/s*s)\/s)\/(s\/s**(-12))*(s**(-1))**(-15\/8) assuming s is positive.\nAnswer: s**(-91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 62733?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 706069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-297)\/(-55).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 166 - 152.1. Let p = 13.5 - d. What is the biggest value in 2, -0.6, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/265 or -1?\nAnswer: -4\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (65\/52)\/(-5*1\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 507 + -437. Let l be (-4)\/(-3)*120\/16. Calculate the highest common factor of j and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q**2 + 3*q + 2. Let m be r(-2). Let s = m - -33. Solve -3*i + s*i - 4*o - 12 = 0, i + 4 = -3*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxxrlvvxnvdd. What is prob of picking 1 d and 2 x?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Let c(d) = 101*d - 4367. Determine t(c(z)).\nAnswer: -202*z + 8734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 16135*t**3 + 3*t**2 - 4*t - 4. Let i be r(4). Suppose 4*o = -28*o + 56085376. Let n = i - o. Round n to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3013222122 - 20?\nAnswer: -3013222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, c: 12}. What is prob of sequence nnn?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -32*x**2 - 1014*x - 2033. Calculate k(-2).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 5*a - 75 - 0, -5*b = -3*a - 99. Calculate the remainder when 60 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -117899, -117902, -117909, -117920?\n\"Answer: -2*u**2 + 3*u - 117900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 19890785 to the nearest one hundred thousand.\nAnswer: 19900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1496*u**5 - u**3 + 373*u**2 wrt u.\nAnswer: 89760*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*v - 12. Let s be v + 4\/(-4) + 0. Suppose -s - 4 = -3*a. Solve 0*f - 5 = 5*o - a*f, 3*o + 5*f = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:49 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Let i be (-13 - -12) + (1*194 - -2). Suppose 3*p = 258 + i. Let v(k) = -50*k + p*k - 62*k. Give v(j(m)).\nAnswer: 78*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 293 - 93 = -44*s. Put -5, s, 0.04 in ascending order.\nAnswer: s, -5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(54)\/sqrt(3))**2 - sqrt(18)).\nAnswer: -18 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 + 56. Let q be 977\/(-7) + a\/56. Let g be 1 + -1 + q\/(-10). Calculate the greatest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3381 = 458*y + 443*y - 15094 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11150\/13041 + 4\/1863. Determine b so that y - 3\/7*b**3 + 3\/7*b - 6\/7*b**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1461.394 millennia?\nAnswer: 1461394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (1 - -43) + (-1 - -10 - 41)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16838346\/644*4*3\/18.\nAnswer: 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28126*g**3 + 3*g**2 - 20306*g**3 + 13*g - 15*g.\nAnswer: -48432*g**3 + 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 1 = -13. Suppose 0 = -4*q + f*q + 54. Differentiate -q + 38 + 2*k**4 + 3*k**4 with respect to k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = 5*o + 77 - 42, 2*o + 15 = -3*g. Let i(x) = -13*x + 15. Determine i(g).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -560 - -583. Suppose -4*g = -v + 27. Sort 127, -3, g in descending order.\nAnswer: 127, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 10:02 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l**2 - 4*l**2 - 8*l**2 - 9*l**2 - 12*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -77*h**6\/30 - 13*h**4 - 111*h. Find the third derivative of d(t) wrt t.\nAnswer: -1848*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*q + 5 = 0, 5*n + 124*q - 128*q + 17 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 - 185. Find the second derivative of -5*p - 7*p + 1127*p**j - 1086*p**4 wrt p.\nAnswer: 492*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = 22*f - 228. Solve 52*k = f*k - v - 1, 4 = 4*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20181680 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/9 and 137\/3877578?\nAnswer: 3877578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**(-1\/24))*t**12*(t**(-3\/4)*t)**(12\/5) assuming t is positive.\nAnswer: t**(1507\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*(-33)\/(-12)*-2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -120, 3, 58 in ascending order.\nAnswer: -120, -4, 1, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -2 + ((-15 - -17 - -10) + -9 - 0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 0*g + 4 - 4*g + 0*g + 5*g. Suppose -6*x + 8 = -4*x. Let w(l) = 1. Give x*w(u) - f(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(5\/7)*t)\/t*t*(t\/(t**31\/t))\/t)\/(t**(-24)\/t**42))**(-30) assuming t is positive.\nAnswer: t**(-7920\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**3 - 91*a**2 + 62*a + 4. Let v be k(-31). Solve -v*l = -5*c, -2*c - 2*c = l - 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50383, -50315, -50245, -50173, -50099, -50023?\n\"Answer: h**2 + 65*h - 50449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**4\/24 - 5*l**3\/6 + 9*l**2. Let n(x) = 2*x**2 - 3*x - 2. What is the smallest common multiple of u(-9) and n(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.061845 + 342.\nAnswer: 341.938155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*u - 2460 = -1404 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27002237\/12 - 2247497. Let n = k - 2685. Find the common denominator of 35\/24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 - 578*c\/9 - 13684\/9.\nAnswer: 2*(c - 311)*(c + 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frlfb. Give prob of sequence lr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -26. Let o be (-15)\/i*(0 - -4). Suppose -4*h + 10 = 2*u + 4, -5*u - 3 = 4*h. Put o, h, -1 in descending order.\nAnswer: h, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 324 + -323. Put 0.2, -2\/5, d, 0.04 in decreasing order.\nAnswer: d, 0.2, 0.04, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 8*o**2 + 8*o - 1. Suppose -3*r + 64 = 2*r - 3*u, 3*u = 2*r - 22. What is the lowest common multiple of a(7) and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -100*x**5\/3 - 2430*x**4 - 4454*x**3\/3 + 14350*x**2 - 6498*x = 0.\nAnswer: -361\/5, -3, 0, 1\/2, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150545640 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 3215*x**2 + 5*x - 3215.\nAnswer: -5*(x - 643)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/5 + 528*t\/5 - 9352 = 0 for t.\nAnswer: -334, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 9 - 45. Suppose 0 = 6*a - 16 + o. Calculate the least common multiple of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34776 and 19320.\nAnswer: 173880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-15)\/r**(1\/2))\/(r**11*r**(1\/14)*r) assuming r is positive.\nAnswer: r**(-193\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(1\/6)\/m*m))\/(m\/m**(1\/14)*m*m))**(-1\/34))**(-31) assuming m is positive.\nAnswer: m**(-682\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddbdbddddbdd. What is prob of sequence ddb?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 27*x**2 + 324*x.\nAnswer: -x*(x - 36)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1728 and 6024?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 7*q - 3. Suppose -3*i - 27 = 4*g, -g = 4*g - 3*i. Let w(p) = -22055*p**2 + 22054*p**2 + 1 + 1 + 4*p. Calculate g*y(t) - 5*w(t).\nAnswer: 2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t - 2*t)*(41*t + 70*t - 19*t).\nAnswer: 92*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*y - 5387, 3*y - 5*c = 3408 + 2003. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -232 * 1.01.\nAnswer: -234.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58960380\/23 or -1?\nAnswer: 58960380\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -47 + 51. Suppose a*m + 4 = -20. Let i be (1 + m)\/(((-18)\/(-6))\/(-3)). Solve -5*v = -i*c - 30, 3*v = 5*v + 4*c + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 - g**4 + 3*g**4)*(-26 - 2*g + 26) + 0*g**2 + 0*g**2 + 2*g**5.\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18137 + -9156. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404337?\nAnswer: 3, 53, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2 - 6864\/1456.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -63, -432, -1423, -3348, -6519, -11248, -17847?\n\"Answer: -52*r**3 + r**2 - 8*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 2*i + 10, 13*c - 6 = i + 14*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 24. Suppose 4*w - 9 = -p. Let u be w*(2 - (7 + 0)). Solve -4*i - 18 - 2 = 0, 0 = -4*s - 3*i + u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 2*u**2 + 2*u. Let c be o(-3). Let t be 5 + (-1 - (c - 2)). Suppose -j = t - 10. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2 + 1 - w + 37 + 10. What is the common denominator of s(0) and 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10197302 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 579 - 573. Let m(p) = p**3 - 5*p**2 - 5*p. Give m(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*1*42546\/7091*1\/(-636).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209\/279*(-1701)\/91?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*v*y**2 + v*y - 13*v - 2*y**2 + 4 wrt y.\nAnswer: 36*v*y + v - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.049 - -7.891. Let t = -8 + i. Let l = t + 0.060008. What is l rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 4*x**2 - 2*x - 6. Let y = -5 + 1. What is i(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Suppose -3*z + 90 = w*z. Calculate the smallest common multiple of 12 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khkwoowboqkowwb. What is prob of picking 1 w and 1 k?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 151*r**3 + 3*r**2 - 8*r + 3. Let j(z) = 50*z**3 + z**2 - 3*z + 1. Let b(d) = -3*f(d) + 8*j(d). Is b(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -8, -1, -25, 28, 5, 2\/9 in decreasing order.\nAnswer: 28, 5, 2\/9, 0.2, -1, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758853 is divided by 133?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 125828 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 15 = 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 349 - 213. Suppose 0 = -2*v + 138 + a. What are the prime factors of v?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -14*a**2 + 112*a + 402. What is o(-3)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -8 + (-7 - (-16 + 30)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177741804 divided by 88870902.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124272 (base 10) in base 8?\nAnswer: 4223660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*(-3930)\/1048*-205*6\/(-45)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -6. Let o be (3\/(-9))\/(y\/198). Let i be -6 - (-13)\/(156\/480). Which is smaller: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(171)*-1 + sqrt(171) + -1 + (sqrt(171) - (sqrt(171) + -1)))**2 - (1*sqrt(76)\/((sqrt(64) - sqrt(64)*-2) + sqrt(4)))**2.\nAnswer: 1416032\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*d**3 + 140694 - 140696 + 2*d**4 - d - 2*d**2 + 0*d as o*d**2 + l*d**3 + i*d + n*d**4 + z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257988 is divided by 257748.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g - 6. Let b be j(-3). Let x be 9\/b*12\/90. Is 1 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -5 (c) 5 (d) 40 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-344)\/(-86) + 7\/((-14)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/7)*g)**(2\/3)*g**(-1\/4)\/g**(-4\/7))\/((g\/(g**1\/g*g*g))**(-28)*g*g**(-5)*g**(2\/3)) assuming g is positive.\nAnswer: g**(-2005\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 1, a: 2, z: 1, q: 1}. What is prob of picking 1 o and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 4) + (-3 - -1). Suppose -5*a + 0*p = -4*p + 43, 19 = -2*a + p. Let f = j - a. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.0207 millilitres in litres?\nAnswer: 0.0950207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8848 - 8848 + 13*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -300 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 162*t**2 + 103*t**2 to the form o + z*t**2 + d*t and give z.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68363 is divided by 639?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 35.5. Let b = 0.5 - x. Let o = b - 11.2. Round o to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 93242242, 186484484, 279726726, 372968968, 466211210?\n\"Answer: 93242242*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 9*j - 13*j + 7*j**2 to h*j + g + p*j**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b - 4090 = 0. Let d be (b\/(-10))\/((-9)\/(-45)). Suppose 2*l + g = 277, 0 = -3*l + 2*g + 3*g + d. Does 26 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -551*0.1.\nAnswer: -55.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 minus -120?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1274*p + 52 - 1279*p - 16 - 81. Let x(r) = -4*r**2. Determine x(h(w)).\nAnswer: -100*w**2 - 1800*w - 8100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:46 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202 divided by -36.\nAnswer: 101\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -64. What is the third biggest value in l, 2\/7, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 + -1049\/6. Let f = 2 - 1. Let q = -1.5 - -10.5. What is the nearest to 0.1 in q, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844049 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33024 and 576.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30173303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**3 - 380*m**2 + 4533*m + 243. Calculate t(81).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 + (-4 - -2) - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*c = 13 + 6, -h + c + 3 = 0. Let s(z) = z**3 - 6*z**2 + 5*z + 2. Calculate s(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3236 and -0.179 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 1. Let d(l) = -10*l**2 - 2*l. Let q(h) = -d(h) + n(h). What are the prime factors of q(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92862893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -916*p**2 - 492800*p + 4304.\nAnswer: -4*(p + 538)*(229*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8. Let k(b) = -b + 9. Let i(y) = -6*g(y) - 5*k(y). Differentiate i(a) with respect to a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -687*o**2 - 188*o + 9. Let t(m) = 345*m**2 + 93*m - 4. Let h(s) = 9*t(s) + 4*w(s). Let y(j) = 17*j**2 + 4*j. What is -4*h(k) + 85*y(k)?\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 20*s - 80. Suppose -11*a = s*i - 14*a - 134, -3*i - 2*a + 69 = 0. Solve -j - i = -6*j - 2*w, -j + 5 = -w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -18.9. Let r = 0.01 - 2.01. Which is the nearest to x? (a) 0.4 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/4)*i**(5\/3)*i*(i**(-2\/3)\/i)**(-35)*(((i\/(i\/i**3))\/i)\/i**3)**(-33) assuming i is positive.\nAnswer: i**(379\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-18))\/(2\/6). Let p be (2 + (-18)\/8)\/1*-1. Find y, given that -p*y**2 + x*y - 1\/4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:02 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731397*r - 731386*r + 2*r**2 + 1462761*r.\nAnswer: 2*r**2 - 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**2 - t**2 - t**2 + 3*t**2 - 2*t**2 + 0*t**2 + (-2 - 2*t + 2)*(t + 0*t - 2*t) - 2*t**2 + 5*t - 5*t - 3 - 13*t**2 + 6 + t**2.\nAnswer: -9*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-2\/3)\/a))\/a)**(8\/7)\/(a**(5\/4)\/a*a\/(a*((a\/(a\/(a*a**(-3)*a)))\/a)\/a)) assuming a is positive.\nAnswer: a**(-113\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180419.\nAnswer: 180419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 279710676*t**2 - 6815859*t + 19 wrt t.\nAnswer: 559421352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000410919262 to 7 dps.\nAnswer: 0.0000411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15813 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 3*r + 43. Let j be b(0). Suppose 0 = 2*i + i - 5*d + 46, 0 = -5*i - 3*d - 122. Let z = j + i. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002041 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2. Let l(k) = 48*k**2 + 27. Let n(z) = -7*z**2 - 4. Let f(g) = -4*l(g) - 27*n(g). What is 4*f(o) + 3*x(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.34 (b) 4 (c) -1 (d) -0.4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u - 460. Let g(p) = -21*p + 2515. Let c(t) = 11*a(t) + 2*g(t). Suppose 2*y = 41 - 5. What is the units digit of c(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43093494 rounded to 2 dps?\nAnswer: 1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 11:57 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 384\/10 + (8\/5 - 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2808444 + 14.6808032. Let n = z + -13.4. Round n to six decimal places.\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72115\/18 - 4002. What is the common denominator of w and 87\/88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 4 = c + 8 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-60)\/1)\/(-2) - 2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 2\/75, -1.79, -1, -3\/110, -0.7?\nAnswer: -1.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 7*h - 5. Let z be k(-8). Suppose 0 = z*b - 3, 7*c + 2*b = 2*c + 7. Let d = c + -3. Is 0 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -164628 by 1614.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 1:57 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 423 + -420. Solve g*h + 2*h = -15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**3 - 1. Let g(l) = -3*l**2. Determine c(g(y)).\nAnswer: 27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-18) + (-4)\/(-18). Let j be 61*15\/(-10)*4\/9. Let h = j + 42. Are h and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 - 4*g**2 - 3*g**2 + (0*g - 4*g + 2*g)*(-4 + 4 - g) + 3*g**2 + 0*g**2 - 5*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4400, 4479, 4558?\n\"Answer: 79*i + 4321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + 3 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4 + 6*j**4 - 6445*j + 6445*j - 6*j**2 wrt j.\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9144 by -3.\nAnswer: -3048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u**2 + 33*u + 10. What is the least common multiple of c(-4) and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62.54 < 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1495087 to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - -1c3?\nAnswer: 1dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -171 - 0.67\nAnswer: -171.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000201130998 rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-21) + (-88)\/(-14). Let c be 468\/1890*15 + 4\/14. Suppose -3*o = k - 44, -4*o + a*o - 36 = -c*k. What is the smallest value in o, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 532899*i + 532899*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 - h**2 - h**2 + (5 - 6 + 2)*(2*h**2 + h**2 - 2*h**2).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1372)*-1)\/(sqrt(16)\/(sqrt(4)*-1)).\nAnswer: -2 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qxxxxxqrrqxqxrxxxrxx?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522.56 rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 774\/7 and 112 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q - 250 - 70 = -70*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1094 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 12462*t - 199139. What is o(16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*q = 66*q. Let a be (27 - 26) + (q + 1)\/1. Solve -4*y = -2*x + 14, 0*y - a*y = 2*x + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 14*r**2 + r + 4. Let j(t) = 42*t**2 + 3*t + 11. Determine -8*g(f) + 3*j(f).\nAnswer: 14*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63174 divided by -6?\nAnswer: -10529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/(-49))\/((-21)\/(-49))*510\/(-240)*12.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000019484732 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179, 396, 647, 950, 1323?\nAnswer: 1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -11. Suppose 2*f = 5 + j. Solve -14 = s - 4*t, 2*s = -3*s - f*t + 26 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 u when three letters picked without replacement from {y: 1, t: 4, s: 4, u: 4, r: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658?\nAnswer: 2, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -2\/17, -2, 5\/4, -5\/18?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s - 14*s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 m, and 1 q when three letters picked without replacement from {r: 5, n: 3, q: 1, m: 1, l: 1, e: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000121713 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9571.\nAnswer: 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - n. Let y = 11 - 14. Sort -1, n, y in decreasing order.\nAnswer: n, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l - 6. Let s(d) = 11*d + 12. Calculate 4*s(b) + 7*u(b).\nAnswer: 2*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 0*w**2 - 3*w**2 - 6 + 185.\nAnswer: -8*w**2 + 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12438895?\nAnswer: 5, 7, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + c - 3*c + (-3 + 2 + 0)*(5*c - 24 + 24))*(-1 + 2 + 0).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.6313 to zero decimal places.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101110111100111 (base 2) in base 8?\nAnswer: 156747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y - 4. Let a be o(6). Let c = -40 - a. Let q(x) = 2*x + 32. Calculate the smallest common multiple of q(c) and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 - 34*d + 240\/7.\nAnswer: -2*(d - 1)*(d + 120)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q + 3. Let m(y) = 7. Let j(d) = -12. Let i(a) = -3*j(a) - 5*m(a). Give -4*i(l) + x(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 876094 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46, -166, -366, -646?\n\"Answer: -40*x**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1429 - -8489\/6. Let z = -24609049\/18 + 1369985. Let i = z + -2818. Calculate the common denominator of h and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 962.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 47*o**2 + 3476*o - 327. Give i(-87).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-14)\/280*-10*2\/(-24)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 756 = 51. Let a = h - 8. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 3164, -59.\nAnswer: -59, 5\/2, 3164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**5\/3 - 1380*a**4 + 20828*a**3\/3 + 9668*a**2 - 120760*a\/3 - 41600 = 0. What is a?\nAnswer: -1040, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2583889 is divided by 645967?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**5 - 4*a**5 - 3*a**5 + (-4061*a**2 - 112*a**5 + 4061*a**2)*((3 + 0 - 5)*(0 - 2 + 1) + 3 - 6 + 2).\nAnswer: -114*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 391 = 1785. Suppose -71*s + r = -67*s. Calculate the remainder when s is divided by 55.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w**2 + w + 1. Let c(u) = -u + 4 + 2*u**2 + 2*u**2 + 8*u. Let b(f) = -c(f) + 4*v(f). What is the second derivative of b(q) wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from {j: 1, w: 1, c: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 30 (b) -3\/11 (c) 0.7 (d) -1\/5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 133*s**3 - 11*s**2 + 52*s + 44. What are the prime factors of l(5)?\nAnswer: 2, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 4. Suppose 3*u - 4*v + 2 = -4, -q*u = -5*v + 7. Suppose 4*i - 110 = -2*z, -4*z - u*i = -2*z - 118. Calculate the greatest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100200 (base 3) to base 11\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 406281 and 115790085.\nAnswer: 115790085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0, -2754, -13 in descending order.\nAnswer: 0, -3, -4, -13, -2754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*l + 56*l = 22. Let t be 1\/((-2)\/6 - 4\/(-3)). Sort -3, l, -5, t in ascending order.\nAnswer: l, -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113933549\/421085 - 3\/60155. Let j = -271 - n. Are -0.9 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 51586 = 2*a, -5*a + 273*k = 272*k - 128965. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-30)*-3*232\/174.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*s + 36, 18 = -4*j + 3*s - 13. Let g = -3 - j. Let h(m) = -5*m + g + m - 11. Determine h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 166986?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5373*a - 595*a**2 - 5373*a.\nAnswer: -595*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -9535*w - 606 - 498 + 1104 in the form s*w + r and give s.\nAnswer: -9535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 467241 a multiple of 526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -35182 divided by 260?\nAnswer: -17591\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 11*m**2 + 25*m - 60. Give n(17).\nAnswer: -1369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = 7*z. Let v be z + (-9)\/3 + 10. What is the third derivative of -6*i**2 + i**2 - 2*i**v + 3*i**5 + 2*i**4 wrt i?\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 7. Let r = w + 5. What is the biggest value in r, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 24*i**2 - 5*i - 13. Let g = 3 + -7. Is y(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*b + 5*a, 8*a + 5 = -4*b + 5*a. Suppose 4*q - 3*k + 7 = 0, 5*q - 3*k + 26 = -5*k. Suppose 3*t - 7*t - 20 = 0. Put b, t, q in increasing order.\nAnswer: t, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 8 = -2*v, -19 = 2*l - 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b**4 - b**4 + 4*b**4)*(-178 - 156 - 763 + 14).\nAnswer: 5415*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -c - 0*c. Does 26 divide (-3262)\/c - (-2)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090021761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5958.437 - 0.06.\nAnswer: 5958.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*t - 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 24 + 11 + -10. Let v(q) = -q**3 + 23*q**2 - q + 30. Determine v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 - 3*q**3 - 2*q**3 - 4*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67611 and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5848617s in milliseconds?\nAnswer: 584.8617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q + 24. Suppose 4*f = -20, -3*f - q = w + 2*w. Solve -2*o = 2*r + o, w*r + 5*o = -1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2, 20 = -2*s + m - 6*m. Suppose v + 5 = 4*i - 6, v - 3*i = -8. Let o(a) = v + 1 + 4 + a - 2. Determine o(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xahahauuah. What is prob of sequence haax?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2894690 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 206*n**2 - 48*n + 2.\nAnswer: 412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 3:37 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 133103*u**2 + 104780?\nAnswer: 266206*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2073 - 410. Let l = y - 660. Suppose -7*o + 3484 = -l. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 967 = 3*p - u - 1011, -5*u - 1994 = -3*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 18*n + 7*n + 2*n - 3 + 3 + (-2 + 1 + 3)*(2*n + 0*n - 4*n) + 2*n + n - 2*n + (0 + 2 - 8)*(-n - 5*n + 3*n) to the form s*n + o and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1812.46 take away -0.38?\nAnswer: 1812.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 545012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v**2 - 29*v + 87. What is the hundreds digit of o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*j + 554 = -241 - 885 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3279599 to the power of 1\/2, to the nearest integer?\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/9 + 79*u\/9 - 230\/3.\nAnswer: -(u - 69)*(u - 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -6 + (-7 - (-13 + 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21440 and 100?\nAnswer: 107200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8161102969 rounded to 3 dps?\nAnswer: -0.816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 + 60*i**2 + 2*i + 51. Calculate z(-30).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(304) + -1 + -1 + -2)**2.\nAnswer: -64*sqrt(19) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p*u**3*x**3 + p*u**3*x + 12*p*x**2 - 182*u**3*x**2 - 2*x**3 wrt p?\nAnswer: -u**3*x**3 + u**3*x + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -s - 2400, 18*r - 15*r - 7200 = s. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 174.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f**(1\/17)))\/((f\/(f\/f**(1\/2)))\/f))**19 assuming f is positive.\nAnswer: f**(931\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o - 11. Let s be w(-2). What is the biggest value in 5, 4, 0.8, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5587*c + 5575*c - 356 = 484 for c.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 2*h**2 + 30*h - 19. Does 56 divide z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 18*t = -119. What is the remainder when (4\/t)\/(24\/2856) is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24690.2581 to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (24 + 120657\/74)\/(1*3\/26).\nAnswer: 13, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)\/a*a)**(8\/7))**(-19)*(a**2\/(a*a**(-2\/7)))\/((a*a\/(a**(-6)*a*a)*a)\/((a*a**(1\/2))\/a)) assuming a is positive.\nAnswer: a**(1143\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10813584 a multiple of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxu when three letters picked without replacement from {u: 6, x: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*v - 2*v. Suppose v*y - 43 - 2 = 0. Suppose i + 3*m = -y, 2*i + i + 3*m = -3. Sort i, -5, 1 in increasing order.\nAnswer: -5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73230 divided by 10.\nAnswer: 7323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*m - 1470 = -172*m. Calculate the highest common divisor of 490 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/6)\/((-2)\/6) - 7185024\/(-714420)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*l - 0*l - 232. Does 15 divide (((-44)\/l)\/11)\/((-3)\/(-828))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7226 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/8762 and 69\/14.\nAnswer: 61334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68\/3365733 - -3470848210043\/134629320. Let t = -25783 + l. What is the common denominator of 5\/28 and t?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (156\/9)\/4. Suppose -x - 2*x + 2*l = 20, 4*x + 25 = l. Let y = q - x. What is the biggest value in y, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12575?\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 372 by -19.\nAnswer: -372\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 135, 259, 443, 693?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t - 6. Let x be l(-4). Let j be 3\/2 - (-9)\/x. Which is greater: -1\/73 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggfgg. Give prob of picking 2 g.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -49*t**2 + 0 + 1\/30*t**5 + 0*t**3 + 0*t + 0*t**4. Let w(a) = 35*a. Determine w(h(v)).\nAnswer: 70*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/3 (c) 2\/7 (d) 1 (e) -0.117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -30*j + 261. Let z be a(8). Solve -2*q - 11 + z = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-10) + (-161)\/(-35). Suppose -7*n - 4 = -32. Calculate the highest common factor of n and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405485 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 7*o**2 + 6*o - 9. Calculate h(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264 is divided by 73.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**3 + 11*v**2 - 23*v - 5. Let l(b) = 309*b + 13283. Let x be l(-43). Let i(j) = -2*j**3 - 5*j**2 + 11*j + 2. Determine x*w(d) - 9*i(d).\nAnswer: 2*d**3 + d**2 - 7*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - u**2 + u. Let b be w(0). Suppose b = 2*r - 191 + 31. Let a be (-25)\/(-10)*-2*(-2)\/r. Put a, -5, -2\/11 in ascending order.\nAnswer: -5, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0, -6, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29760 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1463682.1 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovcovcovvdiiivi. Give prob of sequence oo.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 277\/3 - 8\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 y when four letters picked without replacement from {k: 1, i: 4, y: 6, s: 2, t: 7}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293357330 divided by -2.\nAnswer: -146678665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -15*u + 540. What is the greatest common divisor of 60 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.9 in 10, 433, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - m**3 - m**3 + (-1 + 0 + 2)*(-m**3 - 3*m**3 + 5*m**3) - 5*m**3 - 2*m**3 + 5*m**3)*(-33*m + 12*m + 65*m).\nAnswer: -132*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 3456261?\nAnswer: -3456263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-8373\nAnswer: 2511.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 16 = -2*u, -h - 3*u + 14 = h. Let o = -0.7 - -1. Let q = o - -0.2. Which is the third biggest value? (a) h (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 5:29 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-6) + 1377\/6 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 3*c - 16. Suppose -3 = -q + c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 147126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**2 - 2*s - 6. Let p be (20\/(-6))\/(2\/3). Let o(u) = 8*u**2 - 2*u - 7. Calculate p*o(b) + 6*n(b).\nAnswer: 2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, s: 4, u: 1, b: 6}. Give prob of picking 1 s, 1 b, 1 u, and 1 i.\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25 - 0.35. Let b = 0.5 - 1.5. What is the closest to x in b, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dymydeeueuddumumuug. Give prob of sequence dyy.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1803*d = 38433 + 10248 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - 4*k**2 + 3*k - 3. Let p(m) = -m**3 - 12*m**2 - 9*m - 6. Let g be p(-11). Let v be 1\/7 + (-80)\/g. What is the tens digit of t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = 5*m + 375, 768 = -2*r - 4*m. Let c be 4\/7 + r\/70. Which is smaller: c or -27\/5?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w - 36. Let f be v(-9). Let z(j) be the third derivative of 0*j + 1\/72*j**4 + f + 0*j**3 + 4*j**2 - 1\/360*j**5. Factor z(m).\nAnswer: -m*(m - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, f: 1, d: 1, z: 1, m: 4}. What is prob of picking 2 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 411 - 255. Let s = p - -47. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64008)\/(-1143)*((-4)\/(-6))\/(4\/(-3)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 + 1 - (0 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2538 + -2383. What is the remainder when 880 is divided by h?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5915 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 666*t + 3995. What is n(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.71 (c) 7 (d) -2\/5 (e) -3 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(2 + 8\/(-5)). Let h(k) = 3*k**2 + 4*k. Let r be h(-5). Suppose 43 = 5*d + m, 5*m + 0*m - r = -p*d. What is the least common multiple of d and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.713061 grams?\nAnswer: 0.000000713061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4058184 by 87.\nAnswer: 1352728\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjulvau. Give prob of sequence uv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*g + 5*g + 168 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 281*j = -2962 - 4800 - 5052 for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 71. Suppose -q = 2*u - 144. What is the highest common factor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 7*k**2 + 5*k + 5. Let y(d) = -d**3 + d**2 + d + 1. Let o(b) = c(b) - y(b). What is the tens digit of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 52*o**3 - 5*o**2 - 19*o + 66. What are the prime factors of j(7)?\nAnswer: 2, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5741.91 to the nearest one hundred.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Suppose 0 = -k*p + c + 10, 5*c - 15 = -3*p + 7. Suppose -3*l + 5*d + 56 = -43, 5*d + 127 = p*l. What is the remainder when 75 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107702 and 628.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.44 + 0.04. Let s = 5.02 - 5. Let n = -3.98 - s. Which is the nearest to 0? (a) 0.5 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4939009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1533, 2994, 4417, 5784, 7077, 8278, 9369, 10332?\n\"Answer: -3*l**3 - l**2 + 1485*l + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -286545.30182 - -286551. Let k = -5.7 + o. Round k to four dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 16086672.2344798\nAnswer: -16086672.2344798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 + 68 = 11*d. Suppose d = -v + 30. Solve 2*s = -n - 6, 0 = n - v*s + 2 - 21 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1896*c**3 - 8*c**2 - 152*c**2 + 161*c**2.\nAnswer: -1896*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = n + 32, 25*n = 28*n + s - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 624 - 1026 = 0. List the prime factors of t.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 - -153. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-14)\/((-588)\/9).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - 232 + 6*t + 232.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 19*t**2 + 43*t + 28. Give q(-21).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-3))\/l**(-2\/25)*(l**(1\/5)*l)**(-2\/9))**(-34\/5) assuming l is positive.\nAnswer: l**(-12274\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302268563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-3))\/(70\/15))\/(16\/(-28))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 13. Let g be m(9). Suppose 0 = -5*k - 4*r + 17, 0*r - 2 = -2*k - 4*r. Solve -5*f + 12 = -f, f = -g*s - k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00158707 to 5 decimal places.\nAnswer: 0.00159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 12*c + 1. Let w(v) = 13*v. Suppose -5 = -s - 0. Let a(d) = s*t(d) - 4*w(d). Let l(k) = -15*k - 9. Determine -9*a(q) - 5*l(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/152 and (-358)\/(-1064) - (-10)\/16*24\/(-60)?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**2*t\/(t**(2\/15)\/t))**(-7))**(-28) assuming t is positive.\nAnswer: t**(5488\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 15*d**2 - d - 10. Let j be y(-15). Solve -3*h = -j*t + 19, 5*h + 3 = 2*h - 3*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n + 11*n**2 - 14*n - 10*n**2 + 3*n. Let c(h) = 48*h**2 - 40*h. What is 3*c(r) - 120*p(r)?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -25*z**2 + 751*z + 114. What is the remainder when 417 is divided by n(30)?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-440)\/121)\/(76\/(-418)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3087510.\nAnswer: 2, 3, 5, 97, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y. Let i(j) = -3. Let f(x) = i(x) + 4*z(x). Let g be f(3). Let v = g + 21. Let l(q) = -1. Let k(r) = r - 3. Give v*l(w) - 2*k(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 70 = 5*y. Let v(q) = -4*q**2 - 25*q + 2. Let w be v(y). Let h be -3*((-8)\/3)\/w. Which is greater: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*x**5 + 344*x**4 - 344*x**4 + (x**4 + 2*x**4 - 4*x**3 - 5*x**4)*(-3*x + 4*x + x - 4*x + 2*x + x + (1 - 1 + 2)*(-3*x + 2*x + 2*x)).\nAnswer: -59*x**5 - 12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khbhuububhhbbmuukkk. What is prob of sequence hbk?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -83093 take away 132752.4?\nAnswer: -215845.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -72, -6, 5, 0.3 in descending order.\nAnswer: 5, 0.3, 2\/21, -6, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 56\/(-48) - 2 - (-1 + -2). What is the second smallest value in p, 0, 5, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1138856, -1138823, -1138794, -1138769?\nAnswer: -1138748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**4\/24 + 3*h**2\/2 - 4*h. Let o(p) be the first derivative of l(p). Let r(z) = -4*z**2. Calculate r(o(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 at least as big as 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 845260, 1690526, 2535794, 3381064?\n\"Answer: o**2 + 845263*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055222 (base 7) in base 14?\nAnswer: 66b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -573, -1188, -1851, -2562, -3321?\n\"Answer: -24*y**2 - 543*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0 - 2)*(-m + m - 2*m**2) + 0 + 0 - 2*m**2 + (-2 + 2*m + 2)*(-5 - 2*m + 5) - m + m**2 + m)*(3 + 6 - 6) to the form s*m**2 + r*m + v and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22774 and 8701791?\nAnswer: 1026811338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 19 = p, 0 = -3*m + 2 - 8. What is the smallest common multiple of p and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 63. Calculate the lowest common multiple of 28 and s.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 20*p**2 - 3*p + 23. Let k(h) = 5*h**3 - 80*h**2 + 11*h - 91. Let n(g) = -2*k(g) - 9*t(g). Is n(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(114)\/(sqrt(12)\/(-3*sqrt(2))) - sqrt(171)\/(1*(sqrt(9) - sqrt(324)))).\nAnswer: 84*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 340044077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002581 to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 14*y**2 - 18*y + 67. Let n be k(13). Suppose 3\/2*q**3 + 0 + 0*q + 0*q**n = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36663431 and 1692.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003740683 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.474*-109548\nAnswer: 51925.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - y - 18. Suppose 3*v - 17 = -32. Let z be i(v). Calculate the highest common divisor of z and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5491, -5198, -4399, -2842, -275, 3554, 8897?\n\"Answer: 42*d**3 + d**2 - 4*d - 5530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 27*w - 4. Let u be o(-2). Let a be 1\/(-3) + u*(-1)\/30. What is q in a + 2\/5*q**2 - 8\/5*q = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.17, -268, -2, -5, -0.5, 5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 31*s**4 + 13*s**3 + 16*s + 13. Let l(u) = -15*u**4 - 6*u**3 - 8*u - 6. Let m(o) = 6*f(o) + 13*l(o). What is the second derivative of m(q) wrt q?\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(-2 + sqrt(80) - sqrt(80)))**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-8 - -16 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 195. Let d be n(14). Let a(q) = -43*q**3 + 2*q - 1. What is a(d)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a decade?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + sqrt(98) + -1 + sqrt(98) + 2)**2 + 1*((-2 + sqrt(98) + sqrt(98) + -3)*6)**2.\nAnswer: -4956*sqrt(2) + 15413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = -8. Sort b, 0, -2 in ascending order.\nAnswer: b, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}